Greatest Common Factor of 88/67, 47/32, 61/55, 35/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/67, 47/32, 61/55, 35/569

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 88/67,47/32,61/55,35/569

Given fractions are 88/67,47/32,61/55,35/569

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 88,47,61,35

Greatest Common Factor of Numerators i.e. GCF of 88,47,61,35 is 1 .

LCM of Denominators means LCM of 67,32,55,569 as per the given fractions.

LCM of 67,32,55,569 is 67096480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,47,61,35

GCF of Fractions 88/67,47/32,61/55,35/569 is 1/67096480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 88,47,61,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,47,61,35 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 88,47,61,35 . The biggest common factor number is the GCF number.
So the greatest common factor 88,47,61,35 is 1.

Lets's calculate LCM of 67,32,55,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 67096480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67096480

Therefore, the GCF of Fractions 88/67,47/32,61/55,35/569 is 1/67096480

Least Common Multiple of 67,32,55,569 with GCF Formula

Least Common Multiple of 67,32,55,569 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 67,32,55,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,32,55,569) = 1

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

GCF(67,32,55,569) x common factors =1 x 1 = 1

LCM(67,32,55,569) = ( 67 × 32 × 55 × 569 ) / 1

LCM(67,32,55,569) = 67096480 / 1

LCM(67,32,55,569) = 67096480


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 88/67, 47/32, 61/55, 35/569

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 88/67, 47/32, 61/55, 35/569?

Answer: GCF of Numerators as per given numbers 88/67, 47/32, 61/55, 35/569 is

GCF of Numerators i.e. for 88,47,61,35 is 1

LCM of denominators i.e. for 67,32,55,569 is 67096480.

Thus, GCF of Fractions is 1/67096480.Finally, GCF of Fractions for 88/67, 47/32, 61/55, 35/569 is 1/67096480.