Greatest Common Factor of 776/67, 562/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 776/67, 562/889

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 776/67,562/889

Given fractions are 776/67,562/889

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 776,562

Greatest Common Factor of Numerators i.e. GCF of 776,562 is 2 .

LCM of Denominators means LCM of 67,889 as per the given fractions.

LCM of 67,889 is 59563 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 776,562

GCF of Fractions 776/67,562/889 is 2/59563

2 776, 562
388, 281

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

Greatest Common Factor of 776,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,562 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 776,562 . The biggest common factor number is the GCF number.
So the greatest common factor 776,562 is 2.

Lets's calculate LCM of 67,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 59563

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59563

Therefore, the GCF of Fractions 776/67,562/889 is 2/59563

Least Common Multiple of 67,889 with GCF Formula

Least Common Multiple of 67,889 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 67,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,889) = 1

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

GCF(67,889) x common factors =1 x 1 = 1

LCM(67,889) = ( 67 × 889 ) / 1

LCM(67,889) = 59563 / 1

LCM(67,889) = 59563


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 776/67, 562/889

1. 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.

2. What is the GCF of Fractions for 776/67, 562/889?

Answer: GCF of Numerators as per given numbers 776/67, 562/889 is

GCF of Numerators i.e. for 776,562 is 2

LCM of denominators i.e. for 67,889 is 59563.

Thus, GCF of Fractions is 2/59563.Finally, GCF of Fractions for 776/67, 562/889 is 2/59563.