Greatest Common Factor of 7670/458, 8456/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7670/458, 8456/700

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 7670/458,8456/700

Given fractions are 7670/458,8456/700

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 7670,8456

Greatest Common Factor of Numerators i.e. GCF of 7670,8456 is 2 .

LCM of Denominators means LCM of 458,700 as per the given fractions.

LCM of 458,700 is 160300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7670,8456

GCF of Fractions 7670/458,8456/700 is 2/160300

2 7670, 8456
3835, 4228

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

Greatest Common Factor of 7670,8456 By Matching Biggest Common Factor Method

Greatest Common Factor of 7670,8456 By Matching Biggest Common Factor Method

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors 7670,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 7670,8456 is 2.

Lets's calculate LCM of 458,700

2 458, 700
229, 350

∴ So the LCM of the given numbers is 2 x 229 x 350 = 160300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160300

Therefore, the GCF of Fractions 7670/458,8456/700 is 2/160300

Least Common Multiple of 458,700 with GCF Formula

Least Common Multiple of 458,700 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 458,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,700) = 2

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

GCF(458,700) x common factors =2 x 1 = 2

LCM(458,700) = ( 458 × 700 ) / 2

LCM(458,700) = 320600 / 2

LCM(458,700) = 160300


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 7670/458, 8456/700

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 7670/458, 8456/700?

Answer: GCF of Numerators as per given numbers 7670/458, 8456/700 is

GCF of Numerators i.e. for 7670,8456 is 2

LCM of denominators i.e. for 458,700 is 160300.

Thus, GCF of Fractions is 2/160300.Finally, GCF of Fractions for 7670/458, 8456/700 is 2/160300.