Greatest Common Factor of 3460/47, 7730/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3460/47, 7730/464

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 3460/47,7730/464

Given fractions are 3460/47,7730/464

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 3460,7730

Greatest Common Factor of Numerators i.e. GCF of 3460,7730 is 10 .

LCM of Denominators means LCM of 47,464 as per the given fractions.

LCM of 47,464 is 21808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3460,7730

GCF of Fractions 3460/47,7730/464 is 10/21808

2 3460, 7730
5 1730, 3865
346, 773

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

Greatest Common Factor of 3460,7730 By Matching Biggest Common Factor Method

Greatest Common Factor of 3460,7730 By Matching Biggest Common Factor Method

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Greatest Common Factor

We found the factors 3460,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 3460,7730 is 10.

Lets's calculate LCM of 47,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 21808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/21808

Therefore, the GCF of Fractions 3460/47,7730/464 is 10/21808

Least Common Multiple of 47,464 with GCF Formula

Least Common Multiple of 47,464 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 47,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,464) = 1

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

GCF(47,464) x common factors =1 x 1 = 1

LCM(47,464) = ( 47 × 464 ) / 1

LCM(47,464) = 21808 / 1

LCM(47,464) = 21808


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 3460/47, 7730/464

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 3460/47, 7730/464?

Answer: GCF of Numerators as per given numbers 3460/47, 7730/464 is

GCF of Numerators i.e. for 3460,7730 is 10

LCM of denominators i.e. for 47,464 is 21808.

Thus, GCF of Fractions is 10/21808.Finally, GCF of Fractions for 3460/47, 7730/464 is 10/21808.