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GCF of 936/74, 702/949

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 936/74, 702/949 i.e 234/70226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 936/74, 702/949.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 936/74,702/949?

Given fractions are 936/74,702/949

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 936/74,702/949, numerators are 936,702

Denominators are 74,949

The GCF of 936,702 is 234 .

LCM of 74,949 is 70226.

The greatest common factor of 936/74,702/949 = [GCF of 936,702]/[LCM of 74,949]= 234/70226

Therefore, the GCF of 936/74,702/949 is 234/70226.

Greatest Common Factor of 936,702

To find the highest common factor of 936,702, we have to find the factors of both numbers and list the highest common factor.

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The HCF of 936,702 is 234.

Lets's calculate GCF of 936,702

Greatest Common Factor (GCF) of 936,702 By Common Division

2 936, 702
3 468, 351
3 156, 117
13 52, 39
4, 3

∴ So the GCF of the given numbers is 2 x 3 x 3 x 13 = 234

Greatest Common Factor of 936,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,702 By Matching Biggest Common Factor Method

Now, list down the factors of 936

:

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Now, list down the factors of 702

:

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 936,702 . The biggest common factor number is the GCF number.
So the greatest common factor 936,702 is 234.


Lets's calculate LCM of 74,949

Lowest Common Multiple of 74,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 234/70226

Therefore, the GCF of Fractions 936/74,702/949 is 234/70226

Least Common Multiple of 74,949 with GCF Formula

Least Common Multiple of 74,949 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 74,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,949) = 1

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

GCF(74,949) x common factors =1 x 1 = 1

LCM(74,949) = ( 74 × 949 ) / 1

LCM(74,949) = 70226 / 1

LCM(74,949) = 70226


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 936/74, 702/949

1. What is the HCF of 936,702?

The HCF of 936,702 is 234

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 936/74, 702/949?

Answer: GCF of Numerators as per given numbers 936/74, 702/949 is

GCF of Numerators i.e. for 936,702 is 234

LCM of denominators i.e. for 74,949 is 70226.

Thus, GCF of Fractions is 234/70226.Finally, GCF of Fractions for 936/74, 702/949 is 234/70226.