Greatest Common Factor of 7642/785, 1552/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7642/785, 1552/584

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 7642/785,1552/584

Given fractions are 7642/785,1552/584

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 7642,1552

Greatest Common Factor of Numerators i.e. GCF of 7642,1552 is 2 .

LCM of Denominators means LCM of 785,584 as per the given fractions.

LCM of 785,584 is 458440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7642,1552

GCF of Fractions 7642/785,1552/584 is 2/458440

2 7642, 1552
3821, 776

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

Greatest Common Factor of 7642,1552 By Matching Biggest Common Factor Method

Greatest Common Factor of 7642,1552 By Matching Biggest Common Factor Method

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Greatest Common Factor

We found the factors 7642,1552 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,1552 is 2.

Lets's calculate LCM of 785,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 458440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458440

Therefore, the GCF of Fractions 7642/785,1552/584 is 2/458440

Least Common Multiple of 785,584 with GCF Formula

Least Common Multiple of 785,584 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 785,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,584) = 1

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

GCF(785,584) x common factors =1 x 1 = 1

LCM(785,584) = ( 785 × 584 ) / 1

LCM(785,584) = 458440 / 1

LCM(785,584) = 458440


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 7642/785, 1552/584

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 7642/785, 1552/584?

Answer: GCF of Numerators as per given numbers 7642/785, 1552/584 is

GCF of Numerators i.e. for 7642,1552 is 2

LCM of denominators i.e. for 785,584 is 458440.

Thus, GCF of Fractions is 2/458440.Finally, GCF of Fractions for 7642/785, 1552/584 is 2/458440.