Greatest Common Factor of 35/88, 67/964, 324/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/88, 67/964, 324/836

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 35/88,67/964,324/836

Given fractions are 35/88,67/964,324/836

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 35,67,324

Greatest Common Factor of Numerators i.e. GCF of 35,67,324 is 1 .

LCM of Denominators means LCM of 88,964,836 as per the given fractions.

LCM of 88,964,836 is 402952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,67,324

GCF of Fractions 35/88,67/964,324/836 is 1/402952

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

Greatest Common Factor of 35,67,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,67,324 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 35,67,324 . The biggest common factor number is the GCF number.
So the greatest common factor 35,67,324 is 1.

Lets's calculate LCM of 88,964,836

2 88, 964, 836
2 44, 482, 418
11 22, 241, 209
2, 241, 19

∴ So the LCM of the given numbers is 2 x 2 x 11 x 2 x 241 x 19 = 402952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402952

Therefore, the GCF of Fractions 35/88,67/964,324/836 is 1/402952

Least Common Multiple of 88,964,836 with GCF Formula

Least Common Multiple of 88,964,836 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 88,964,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,964,836) = 4

common factors(in case of two or more numbers have common factors) = 44

GCF(88,964,836) x common factors =4 x 44 = 176

LCM(88,964,836) = ( 88 × 964 × 836 ) / 176

LCM(88,964,836) = 70919552 / 176

LCM(88,964,836) = 402952


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 35/88, 67/964, 324/836

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 35/88, 67/964, 324/836?

Answer: GCF of Numerators as per given numbers 35/88, 67/964, 324/836 is

GCF of Numerators i.e. for 35,67,324 is 1

LCM of denominators i.e. for 88,964,836 is 402952.

Thus, GCF of Fractions is 1/402952.Finally, GCF of Fractions for 35/88, 67/964, 324/836 is 1/402952.