How to Find GCF of 698/904, 131/768?

GCF of 698/904, 131/768

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 698/904, 131/768 i.e 1/86784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/904, 131/768.

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 698/904,131/768?

Given fractions are 698/904,131/768

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 698/904,131/768, numerators are 698,131

Denominators are 904,768

The GCF of 698,131 is 1 .

LCM of 904,768 is 86784.

The greatest common factor of 698/904,131/768 = [GCF of 698,131]/[LCM of 904,768]= 1/86784

Therefore, the GCF of 698/904,131/768 is 1/86784.

Greatest Common Factor of 698,131

To find the highest common factor of 698,131, 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 131 are 1, 131

The HCF of 698,131 is 1.

Lets's calculate GCF of 698,131

Greatest Common Factor (GCF) of 698,131 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 698,131 By Matching Biggest Common Factor Method

Now, list down the factors of 698

1,2,349,698

Now, list down the factors of 131

1,131

Greatest Common Factor

We found the factors 698,131 . The biggest common factor number is the GCF number.
So the greatest common factor 698,131 is 1.

Lets's calculate LCM of 904,768

Lowest Common Multiple of 904,768 using Common Division

2	904, 768
2	452, 384
2	226, 192
	113, 96

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 96 = 86784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86784

Therefore, the GCF of Fractions 698/904,131/768 is 1/86784

Least Common Multiple of 904,768 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 904,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,768) = 8

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

GCF(904,768) x common factors =8 x 1 = 8

LCM(904,768) = ( 904 × 768 ) / 8

LCM(904,768) = 694272 / 8

LCM(904,768) = 86784

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FAQs on GCF of Fractions of 698/904, 131/768

1. What is the HCF of 698,131?

The HCF of 698,131 is 1

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 698/904, 131/768?

Answer: GCF of Numerators as per given numbers 698/904, 131/768 is

GCF of Numerators i.e. for 698,131 is 1

LCM of denominators i.e. for 904,768 is 86784.

Thus, GCF of Fractions is 1/86784.Finally, GCF of Fractions for 698/904, 131/768 is 1/86784.