Greatest Common Factor of 7669/707, 9748/3070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7669/707, 9748/3070

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 7669/707,9748/3070

Given fractions are 7669/707,9748/3070

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 7669,9748

Greatest Common Factor of Numerators i.e. GCF of 7669,9748 is 1 .

LCM of Denominators means LCM of 707,3070 as per the given fractions.

LCM of 707,3070 is 2170490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7669,9748

GCF of Fractions 7669/707,9748/3070 is 1/2170490

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

Greatest Common Factor of 7669,9748 By Matching Biggest Common Factor Method

Greatest Common Factor of 7669,9748 By Matching Biggest Common Factor Method

Factors of 7669

List of positive integer factors of 7669 that divides 7669 without a remainder.

1,7669

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Greatest Common Factor

We found the factors 7669,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 7669,9748 is 1.

Lets's calculate LCM of 707,3070

Given numbers has no common factors except 1. So, there LCM is their product i.e 2170490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2170490

Therefore, the GCF of Fractions 7669/707,9748/3070 is 1/2170490

Least Common Multiple of 707,3070 with GCF Formula

Least Common Multiple of 707,3070 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 707,3070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,3070) = 1

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

GCF(707,3070) x common factors =1 x 1 = 1

LCM(707,3070) = ( 707 × 3070 ) / 1

LCM(707,3070) = 2170490 / 1

LCM(707,3070) = 2170490


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 7669/707, 9748/3070

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 7669/707, 9748/3070?

Answer: GCF of Numerators as per given numbers 7669/707, 9748/3070 is

GCF of Numerators i.e. for 7669,9748 is 1

LCM of denominators i.e. for 707,3070 is 2170490.

Thus, GCF of Fractions is 1/2170490.Finally, GCF of Fractions for 7669/707, 9748/3070 is 1/2170490.