Greatest Common Factor of 4180/610, 8810/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4180/610, 8810/114

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 4180/610,8810/114

Given fractions are 4180/610,8810/114

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 4180,8810

Greatest Common Factor of Numerators i.e. GCF of 4180,8810 is 10 .

LCM of Denominators means LCM of 610,114 as per the given fractions.

LCM of 610,114 is 34770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4180,8810

GCF of Fractions 4180/610,8810/114 is 10/34770

2 4180, 8810
5 2090, 4405
418, 881

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4180,8810 By Matching Biggest Common Factor Method

Greatest Common Factor of 4180,8810 By Matching Biggest Common Factor Method

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Factors of 8810

List of positive integer factors of 8810 that divides 8810 without a remainder.

1,2,5,10,881,1762,4405,8810

Greatest Common Factor

We found the factors 4180,8810 . The biggest common factor number is the GCF number.
So the greatest common factor 4180,8810 is 10.

Lets's calculate LCM of 610,114

2 610, 114
305, 57

∴ So the LCM of the given numbers is 2 x 305 x 57 = 34770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/34770

Therefore, the GCF of Fractions 4180/610,8810/114 is 10/34770

Least Common Multiple of 610,114 with GCF Formula

Least Common Multiple of 610,114 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 610,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,114) = 2

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

GCF(610,114) x common factors =2 x 1 = 2

LCM(610,114) = ( 610 × 114 ) / 2

LCM(610,114) = 69540 / 2

LCM(610,114) = 34770


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 4180/610, 8810/114

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 4180/610, 8810/114?

Answer: GCF of Numerators as per given numbers 4180/610, 8810/114 is

GCF of Numerators i.e. for 4180,8810 is 10

LCM of denominators i.e. for 610,114 is 34770.

Thus, GCF of Fractions is 10/34770.Finally, GCF of Fractions for 4180/610, 8810/114 is 10/34770.