LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 77/787, 2689/3375

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 77/787, 2689/3375 i.e 1/2656125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/787, 2689/3375.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 77/787,2689/3375?

Given fractions are 77/787,2689/3375

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 77/787,2689/3375, numerators are 77,2689

Denominators are 787,3375

The GCF of 77,2689 is 1 .

LCM of 787,3375 is 2656125.

The greatest common factor of 77/787,2689/3375 = [GCF of 77,2689]/[LCM of 787,3375]= 1/2656125

Therefore, the GCF of 77/787,2689/3375 is 1/2656125.

Greatest Common Factor of 77,2689

To find the highest common factor of 77,2689, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 2689 are 1, 2689

The HCF of 77,2689 is 1.

Lets's calculate GCF of 77,2689

Greatest Common Factor (GCF) of 77,2689 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 77,2689 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,2689 By Matching Biggest Common Factor Method

Now, list down the factors of 77

:

1,7,11,77

Now, list down the factors of 2689

:

1,2689

Greatest Common Factor

We found the factors 77,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 77,2689 is 1.

Lets's calculate LCM of 787,3375

Lowest Common Multiple of 787,3375 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2656125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2656125

Therefore, the GCF of Fractions 77/787,2689/3375 is 1/2656125

Least Common Multiple of 787,3375 with GCF Formula

Least Common Multiple of 787,3375 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 787,3375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,3375) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(787,3375) x common factors =1 x 1 = 1

LCM(787,3375) = ( 787 × 3375 ) / 1

LCM(787,3375) = 2656125 / 1

LCM(787,3375) = 2656125


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 77/787, 2689/3375

1. What is the HCF of 77,2689?

The HCF of 77,2689 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 77/787, 2689/3375?

Answer: GCF of Numerators as per given numbers 77/787, 2689/3375 is

GCF of Numerators i.e. for 77,2689 is 1

LCM of denominators i.e. for 787,3375 is 2656125.

Thus, GCF of Fractions is 1/2656125.Finally, GCF of Fractions for 77/787, 2689/3375 is 1/2656125.