How to Find GCF of 698/204, 936/156?

GCF of 698/204, 936/156

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 698/204, 936/156 i.e 2/2652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/204, 936/156.

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 698/204,936/156?

Given fractions are 698/204,936/156

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 698/204,936/156, numerators are 698,936

Denominators are 204,156

The GCF of 698,936 is 2 .

LCM of 204,156 is 2652.

The greatest common factor of 698/204,936/156 = [GCF of 698,936]/[LCM of 204,156]= 2/2652

Therefore, the GCF of 698/204,936/156 is 2/2652.

Greatest Common Factor of 698,936

To find the highest common factor of 698,936, we have to find the factors of both numbers and list the highest common factor.

The factors of 698 are 1, 2, 349, 698

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 698,936 is 2.

Lets's calculate GCF of 698,936

Greatest Common Factor (GCF) of 698,936 By Common Division

2	698, 936
	349, 468

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

Greatest Common Factor of 698,936 By Matching Biggest Common Factor Method

Now, list down the factors of 698

1,2,349,698

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 698,936 . The biggest common factor number is the GCF number.
So the greatest common factor 698,936 is 2.

Lets's calculate LCM of 204,156

Lowest Common Multiple of 204,156 using Common Division

2	204, 156
2	102, 78
3	51, 39
	17, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 13 = 2652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2652

Therefore, the GCF of Fractions 698/204,936/156 is 2/2652

Least Common Multiple of 204,156 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 204,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,156) = 12

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

GCF(204,156) x common factors =12 x 1 = 12

LCM(204,156) = ( 204 × 156 ) / 12

LCM(204,156) = 31824 / 12

LCM(204,156) = 2652

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FAQs on GCF of Fractions of 698/204, 936/156

1. What is the HCF of 698,936?

The HCF of 698,936 is 2

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 698/204, 936/156?

Answer: GCF of Numerators as per given numbers 698/204, 936/156 is

GCF of Numerators i.e. for 698,936 is 2

LCM of denominators i.e. for 204,156 is 2652.

Thus, GCF of Fractions is 2/2652.Finally, GCF of Fractions for 698/204, 936/156 is 2/2652.