Greatest Common Factor of 352/9578, 850/3708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 352/9578, 850/3708

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 352/9578,850/3708

Given fractions are 352/9578,850/3708

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 352,850

Greatest Common Factor of Numerators i.e. GCF of 352,850 is 2 .

LCM of Denominators means LCM of 9578,3708 as per the given fractions.

LCM of 9578,3708 is 17757612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 352,850

GCF of Fractions 352/9578,850/3708 is 2/17757612

2 352, 850
176, 425

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 352,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,850 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 352,850 . The biggest common factor number is the GCF number.
So the greatest common factor 352,850 is 2.

Lets's calculate LCM of 9578,3708

2 9578, 3708
4789, 1854

∴ So the LCM of the given numbers is 2 x 4789 x 1854 = 17757612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17757612

Therefore, the GCF of Fractions 352/9578,850/3708 is 2/17757612

Least Common Multiple of 9578,3708 with GCF Formula

Least Common Multiple of 9578,3708 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 9578,3708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9578,3708) = 2

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

GCF(9578,3708) x common factors =2 x 1 = 2

LCM(9578,3708) = ( 9578 × 3708 ) / 2

LCM(9578,3708) = 35515224 / 2

LCM(9578,3708) = 17757612


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 352/9578, 850/3708

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 352/9578, 850/3708?

Answer: GCF of Numerators as per given numbers 352/9578, 850/3708 is

GCF of Numerators i.e. for 352,850 is 2

LCM of denominators i.e. for 9578,3708 is 17757612.

Thus, GCF of Fractions is 2/17757612.Finally, GCF of Fractions for 352/9578, 850/3708 is 2/17757612.