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GCF of 908/40, 769/4024

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 908/40, 769/4024 i.e 1/20120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/40, 769/4024.

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 908/40,769/4024?

Given fractions are 908/40,769/4024

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 908/40,769/4024, numerators are 908,769

Denominators are 40,4024

The GCF of 908,769 is 1 .

LCM of 40,4024 is 20120.

The greatest common factor of 908/40,769/4024 = [GCF of 908,769]/[LCM of 40,4024]= 1/20120

Therefore, the GCF of 908/40,769/4024 is 1/20120.

Greatest Common Factor of 908,769

To find the highest common factor of 908,769, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 769 are 1, 769

The HCF of 908,769 is 1.

Lets's calculate GCF of 908,769

Greatest Common Factor (GCF) of 908,769 By Common Division

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

Greatest Common Factor of 908,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,769 By Matching Biggest Common Factor Method

Now, list down the factors of 908

:

1,2,4,227,454,908

Now, list down the factors of 769

:

1,769

Greatest Common Factor

We found the factors 908,769 . The biggest common factor number is the GCF number.
So the greatest common factor 908,769 is 1.

Lets's calculate LCM of 40,4024

Lowest Common Multiple of 40,4024 using Common Division

2 40, 4024
2 20, 2012
2 10, 1006
5, 503

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 503 = 20120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20120

Therefore, the GCF of Fractions 908/40,769/4024 is 1/20120

Least Common Multiple of 40,4024 with GCF Formula

Least Common Multiple of 40,4024 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 40,4024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,4024) = 8

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

GCF(40,4024) x common factors =8 x 1 = 8

LCM(40,4024) = ( 40 × 4024 ) / 8

LCM(40,4024) = 160960 / 8

LCM(40,4024) = 20120


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 908/40, 769/4024

1. What is the HCF of 908,769?

The HCF of 908,769 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 908/40, 769/4024?

Answer: GCF of Numerators as per given numbers 908/40, 769/4024 is

GCF of Numerators i.e. for 908,769 is 1

LCM of denominators i.e. for 40,4024 is 20120.

Thus, GCF of Fractions is 1/20120.Finally, GCF of Fractions for 908/40, 769/4024 is 1/20120.