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 778/90, 282/457

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 778/90, 282/457 i.e 2/41130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 778/90, 282/457.

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 778/90,282/457?

Given fractions are 778/90,282/457

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 778/90,282/457, numerators are 778,282

Denominators are 90,457

The GCF of 778,282 is 2 .

LCM of 90,457 is 41130.

The greatest common factor of 778/90,282/457 = [GCF of 778,282]/[LCM of 90,457]= 2/41130

Therefore, the GCF of 778/90,282/457 is 2/41130.

Greatest Common Factor of 778,282

To find the highest common factor of 778,282, we have to find the factors of both numbers and list the highest common factor.

The factors of 778 are 1, 2, 389, 778

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The HCF of 778,282 is 2.

Lets's calculate GCF of 778,282

Greatest Common Factor (GCF) of 778,282 By Common Division

2 778, 282
389, 141

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 778,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,282 By Matching Biggest Common Factor Method

Now, list down the factors of 778

:

1,2,389,778

Now, list down the factors of 282

:

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 778,282 . The biggest common factor number is the GCF number.
So the greatest common factor 778,282 is 2.

Lets's calculate LCM of 90,457

Lowest Common Multiple of 90,457 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 41130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41130

Therefore, the GCF of Fractions 778/90,282/457 is 2/41130

Least Common Multiple of 90,457 with GCF Formula

Least Common Multiple of 90,457 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 90,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,457) = 1

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

GCF(90,457) x common factors =1 x 1 = 1

LCM(90,457) = ( 90 × 457 ) / 1

LCM(90,457) = 41130 / 1

LCM(90,457) = 41130


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 778/90, 282/457

1. What is the HCF of 778,282?

The HCF of 778,282 is 2

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 778/90, 282/457?

Answer: GCF of Numerators as per given numbers 778/90, 282/457 is

GCF of Numerators i.e. for 778,282 is 2

LCM of denominators i.e. for 90,457 is 41130.

Thus, GCF of Fractions is 2/41130.Finally, GCF of Fractions for 778/90, 282/457 is 2/41130.