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 779/31, 425/194

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 779/31, 425/194 i.e 1/6014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/31, 425/194.

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 779/31,425/194?

Given fractions are 779/31,425/194

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 779/31,425/194, numerators are 779,425

Denominators are 31,194

The GCF of 779,425 is 1 .

LCM of 31,194 is 6014.

The greatest common factor of 779/31,425/194 = [GCF of 779,425]/[LCM of 31,194]= 1/6014

Therefore, the GCF of 779/31,425/194 is 1/6014.

Greatest Common Factor of 779,425

To find the highest common factor of 779,425, we have to find the factors of both numbers and list the highest common factor.

The factors of 779 are 1, 19, 41, 779

The factors of 425 are 1, 5, 17, 25, 85, 425

The HCF of 779,425 is 1.

Lets's calculate GCF of 779,425

Greatest Common Factor (GCF) of 779,425 By Common Division

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

Greatest Common Factor of 779,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,425 By Matching Biggest Common Factor Method

Now, list down the factors of 779

:

1,19,41,779

Now, list down the factors of 425

:

1,5,17,25,85,425

Greatest Common Factor

We found the factors 779,425 . The biggest common factor number is the GCF number.
So the greatest common factor 779,425 is 1.

Lets's calculate LCM of 31,194

Lowest Common Multiple of 31,194 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6014

Therefore, the GCF of Fractions 779/31,425/194 is 1/6014

Least Common Multiple of 31,194 with GCF Formula

Least Common Multiple of 31,194 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 31,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,194) = 1

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

GCF(31,194) x common factors =1 x 1 = 1

LCM(31,194) = ( 31 × 194 ) / 1

LCM(31,194) = 6014 / 1

LCM(31,194) = 6014


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 779/31, 425/194

1. What is the HCF of 779,425?

The HCF of 779,425 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 779/31, 425/194?

Answer: GCF of Numerators as per given numbers 779/31, 425/194 is

GCF of Numerators i.e. for 779,425 is 1

LCM of denominators i.e. for 31,194 is 6014.

Thus, GCF of Fractions is 1/6014.Finally, GCF of Fractions for 779/31, 425/194 is 1/6014.