Greatest Common Factor of 4356/74, 9684/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4356/74, 9684/914

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 4356/74,9684/914

Given fractions are 4356/74,9684/914

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 4356,9684

Greatest Common Factor of Numerators i.e. GCF of 4356,9684 is 36 .

LCM of Denominators means LCM of 74,914 as per the given fractions.

LCM of 74,914 is 33818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4356,9684

GCF of Fractions 4356/74,9684/914 is 36/33818

2 4356, 9684
2 2178, 4842
3 1089, 2421
3 363, 807
121, 269

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 4356,9684 By Matching Biggest Common Factor Method

Greatest Common Factor of 4356,9684 By Matching Biggest Common Factor Method

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356

Factors of 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684

Greatest Common Factor

We found the factors 4356,9684 . The biggest common factor number is the GCF number.
So the greatest common factor 4356,9684 is 36.

Lets's calculate LCM of 74,914

2 74, 914
37, 457

∴ So the LCM of the given numbers is 2 x 37 x 457 = 33818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/33818

Therefore, the GCF of Fractions 4356/74,9684/914 is 36/33818

Least Common Multiple of 74,914 with GCF Formula

Least Common Multiple of 74,914 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 74,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,914) = 2

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

GCF(74,914) x common factors =2 x 1 = 2

LCM(74,914) = ( 74 × 914 ) / 2

LCM(74,914) = 67636 / 2

LCM(74,914) = 33818


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 4356/74, 9684/914

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 4356/74, 9684/914?

Answer: GCF of Numerators as per given numbers 4356/74, 9684/914 is

GCF of Numerators i.e. for 4356,9684 is 36

LCM of denominators i.e. for 74,914 is 33818.

Thus, GCF of Fractions is 36/33818.Finally, GCF of Fractions for 4356/74, 9684/914 is 36/33818.