Greatest Common Factor of 4465/62, 7810/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4465/62, 7810/680

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 4465/62,7810/680

Given fractions are 4465/62,7810/680

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 4465,7810

Greatest Common Factor of Numerators i.e. GCF of 4465,7810 is 5 .

LCM of Denominators means LCM of 62,680 as per the given fractions.

LCM of 62,680 is 21080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4465,7810

GCF of Fractions 4465/62,7810/680 is 5/21080

5 4465, 7810
893, 1562

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4465,7810 By Matching Biggest Common Factor Method

Greatest Common Factor of 4465,7810 By Matching Biggest Common Factor Method

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1,5,19,47,95,235,893,4465

Factors of 7810

List of positive integer factors of 7810 that divides 7810 without a remainder.

1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810

Greatest Common Factor

We found the factors 4465,7810 . The biggest common factor number is the GCF number.
So the greatest common factor 4465,7810 is 5.

Lets's calculate LCM of 62,680

2 62, 680
31, 340

∴ So the LCM of the given numbers is 2 x 31 x 340 = 21080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21080

Therefore, the GCF of Fractions 4465/62,7810/680 is 5/21080

Least Common Multiple of 62,680 with GCF Formula

Least Common Multiple of 62,680 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 62,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,680) = 2

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

GCF(62,680) x common factors =2 x 1 = 2

LCM(62,680) = ( 62 × 680 ) / 2

LCM(62,680) = 42160 / 2

LCM(62,680) = 21080


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 4465/62, 7810/680

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 4465/62, 7810/680?

Answer: GCF of Numerators as per given numbers 4465/62, 7810/680 is

GCF of Numerators i.e. for 4465,7810 is 5

LCM of denominators i.e. for 62,680 is 21080.

Thus, GCF of Fractions is 5/21080.Finally, GCF of Fractions for 4465/62, 7810/680 is 5/21080.