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GCF of 808/80, 931/840

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 808/80, 931/840 i.e 1/1680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/80, 931/840.

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 808/80,931/840?

Given fractions are 808/80,931/840

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 808/80,931/840, numerators are 808,931

Denominators are 80,840

The GCF of 808,931 is 1 .

LCM of 80,840 is 1680.

The greatest common factor of 808/80,931/840 = [GCF of 808,931]/[LCM of 80,840]= 1/1680

Therefore, the GCF of 808/80,931/840 is 1/1680.

Greatest Common Factor of 808,931

To find the highest common factor of 808,931, we have to find the factors of both numbers and list the highest common factor.

The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808

The factors of 931 are 1, 7, 19, 49, 133, 931

The HCF of 808,931 is 1.

Lets's calculate GCF of 808,931

Greatest Common Factor (GCF) of 808,931 By Common Division

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

Greatest Common Factor of 808,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,931 By Matching Biggest Common Factor Method

Now, list down the factors of 808

:

1,2,4,8,101,202,404,808

Now, list down the factors of 931

:

1,7,19,49,133,931

Greatest Common Factor

We found the factors 808,931 . The biggest common factor number is the GCF number.
So the greatest common factor 808,931 is 1.

Lets's calculate LCM of 80,840

Lowest Common Multiple of 80,840 using Common Division

2 80, 840
2 40, 420
2 20, 210
5 10, 105
2, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 21 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 808/80,931/840 is 1/1680

Least Common Multiple of 80,840 with GCF Formula

Least Common Multiple of 80,840 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 80,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,840) = 40

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

GCF(80,840) x common factors =40 x 1 = 40

LCM(80,840) = ( 80 × 840 ) / 40

LCM(80,840) = 67200 / 40

LCM(80,840) = 1680


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FAQs on GCF of Fractions of 808/80, 931/840

1. What is the HCF of 808,931?

The HCF of 808,931 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 808/80, 931/840?

Answer: GCF of Numerators as per given numbers 808/80, 931/840 is

GCF of Numerators i.e. for 808,931 is 1

LCM of denominators i.e. for 80,840 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 808/80, 931/840 is 1/1680.