Greatest Common Factor of 3890/966, 8690/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3890/966, 8690/708

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 3890/966,8690/708

Given fractions are 3890/966,8690/708

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 3890,8690

Greatest Common Factor of Numerators i.e. GCF of 3890,8690 is 10 .

LCM of Denominators means LCM of 966,708 as per the given fractions.

LCM of 966,708 is 113988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3890,8690

GCF of Fractions 3890/966,8690/708 is 10/113988

2 3890, 8690
5 1945, 4345
389, 869

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

Greatest Common Factor of 3890,8690 By Matching Biggest Common Factor Method

Greatest Common Factor of 3890,8690 By Matching Biggest Common Factor Method

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1,2,5,10,389,778,1945,3890

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Greatest Common Factor

We found the factors 3890,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 3890,8690 is 10.

Lets's calculate LCM of 966,708

2 966, 708
3 483, 354
161, 118

∴ So the LCM of the given numbers is 2 x 3 x 161 x 118 = 113988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/113988

Therefore, the GCF of Fractions 3890/966,8690/708 is 10/113988

Least Common Multiple of 966,708 with GCF Formula

Least Common Multiple of 966,708 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 966,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,708) = 6

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

GCF(966,708) x common factors =6 x 1 = 6

LCM(966,708) = ( 966 × 708 ) / 6

LCM(966,708) = 683928 / 6

LCM(966,708) = 113988


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3890/966, 8690/708

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 3890/966, 8690/708?

Answer: GCF of Numerators as per given numbers 3890/966, 8690/708 is

GCF of Numerators i.e. for 3890,8690 is 10

LCM of denominators i.e. for 966,708 is 113988.

Thus, GCF of Fractions is 10/113988.Finally, GCF of Fractions for 3890/966, 8690/708 is 10/113988.