How to Find GCF of 498/932, 936/948?

GCF of 498/932, 936/948

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 498/932, 936/948 i.e 6/220884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 498/932, 936/948.

Enter two or more fractions separated by "commas"

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

What is the GCF of 498/932,936/948?

Given fractions are 498/932,936/948

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 498/932,936/948, numerators are 498,936

Denominators are 932,948

The GCF of 498,936 is 6 .

LCM of 932,948 is 220884.

The greatest common factor of 498/932,936/948 = [GCF of 498,936]/[LCM of 932,948]= 6/220884

Therefore, the GCF of 498/932,936/948 is 6/220884.

Greatest Common Factor of 498,936

To find the highest common factor of 498,936, we have to find the factors of both numbers and list the highest common factor.

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498

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 HCF of 498,936 is 6.

Lets's calculate GCF of 498,936

Greatest Common Factor (GCF) of 498,936 By Common Division

2	498, 936
3	249, 468
	83, 156

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 498,936 By Matching Biggest Common Factor Method

Now, list down the factors of 498

1,2,3,6,83,166,249,498

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

Greatest Common Factor

We found the factors 498,936 . The biggest common factor number is the GCF number.
So the greatest common factor 498,936 is 6.

Lets's calculate LCM of 932,948

Lowest Common Multiple of 932,948 using Common Division

2	932, 948
2	466, 474
	233, 237

∴ So the LCM of the given numbers is 2 x 2 x 233 x 237 = 220884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/220884

Therefore, the GCF of Fractions 498/932,936/948 is 6/220884

Least Common Multiple of 932,948 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 932,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,948) = 4

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

GCF(932,948) x common factors =4 x 1 = 4

LCM(932,948) = ( 932 × 948 ) / 4

LCM(932,948) = 883536 / 4

LCM(932,948) = 220884

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 498/932, 936/948

1. What is the HCF of 498,936?

The HCF of 498,936 is 6

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 498/932, 936/948?

Answer: GCF of Numerators as per given numbers 498/932, 936/948 is

GCF of Numerators i.e. for 498,936 is 6

LCM of denominators i.e. for 932,948 is 220884.

Thus, GCF of Fractions is 6/220884.Finally, GCF of Fractions for 498/932, 936/948 is 6/220884.