Greatest Common Factor of 8680/998, 1477/1646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8680/998, 1477/1646

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 8680/998,1477/1646

Given fractions are 8680/998,1477/1646

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 8680,1477

Greatest Common Factor of Numerators i.e. GCF of 8680,1477 is 7 .

LCM of Denominators means LCM of 998,1646 as per the given fractions.

LCM of 998,1646 is 821354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8680,1477

GCF of Fractions 8680/998,1477/1646 is 7/821354

7 8680, 1477
1240, 211

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8680,1477 By Matching Biggest Common Factor Method

Greatest Common Factor of 8680,1477 By Matching Biggest Common Factor Method

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Factors of 1477

List of positive integer factors of 1477 that divides 1477 without a remainder.

1,7,211,1477

Greatest Common Factor

We found the factors 8680,1477 . The biggest common factor number is the GCF number.
So the greatest common factor 8680,1477 is 7.

Lets's calculate LCM of 998,1646

2 998, 1646
499, 823

∴ So the LCM of the given numbers is 2 x 499 x 823 = 821354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/821354

Therefore, the GCF of Fractions 8680/998,1477/1646 is 7/821354

Least Common Multiple of 998,1646 with GCF Formula

Least Common Multiple of 998,1646 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 998,1646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,1646) = 2

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

GCF(998,1646) x common factors =2 x 1 = 2

LCM(998,1646) = ( 998 × 1646 ) / 2

LCM(998,1646) = 1642708 / 2

LCM(998,1646) = 821354


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 8680/998, 1477/1646

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 8680/998, 1477/1646?

Answer: GCF of Numerators as per given numbers 8680/998, 1477/1646 is

GCF of Numerators i.e. for 8680,1477 is 7

LCM of denominators i.e. for 998,1646 is 821354.

Thus, GCF of Fractions is 7/821354.Finally, GCF of Fractions for 8680/998, 1477/1646 is 7/821354.