Greatest Common Factor of 8421/77, 1770/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8421/77, 1770/125

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 8421/77,1770/125

Given fractions are 8421/77,1770/125

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 8421,1770

Greatest Common Factor of Numerators i.e. GCF of 8421,1770 is 3 .

LCM of Denominators means LCM of 77,125 as per the given fractions.

LCM of 77,125 is 9625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8421,1770

GCF of Fractions 8421/77,1770/125 is 3/9625

3 8421, 1770
2807, 590

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8421,1770 By Matching Biggest Common Factor Method

Greatest Common Factor of 8421,1770 By Matching Biggest Common Factor Method

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770

Greatest Common Factor

We found the factors 8421,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 8421,1770 is 3.

Lets's calculate LCM of 77,125

Given numbers has no common factors except 1. So, there LCM is their product i.e 9625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9625

Therefore, the GCF of Fractions 8421/77,1770/125 is 3/9625

Least Common Multiple of 77,125 with GCF Formula

Least Common Multiple of 77,125 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 77,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,125) = 1

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

GCF(77,125) x common factors =1 x 1 = 1

LCM(77,125) = ( 77 × 125 ) / 1

LCM(77,125) = 9625 / 1

LCM(77,125) = 9625


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 8421/77, 1770/125

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 8421/77, 1770/125?

Answer: GCF of Numerators as per given numbers 8421/77, 1770/125 is

GCF of Numerators i.e. for 8421,1770 is 3

LCM of denominators i.e. for 77,125 is 9625.

Thus, GCF of Fractions is 3/9625.Finally, GCF of Fractions for 8421/77, 1770/125 is 3/9625.