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GCF of 820/92, 463/765

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 820/92, 463/765 i.e 1/70380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 820/92, 463/765.

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 820/92,463/765?

Given fractions are 820/92,463/765

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 820/92,463/765, numerators are 820,463

Denominators are 92,765

The GCF of 820,463 is 1 .

LCM of 92,765 is 70380.

The greatest common factor of 820/92,463/765 = [GCF of 820,463]/[LCM of 92,765]= 1/70380

Therefore, the GCF of 820/92,463/765 is 1/70380.

Greatest Common Factor of 820,463

To find the highest common factor of 820,463, we have to find the factors of both numbers and list the highest common factor.

The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

The factors of 463 are 1, 463

The HCF of 820,463 is 1.

Lets's calculate GCF of 820,463

Greatest Common Factor (GCF) of 820,463 By Common Division

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

Greatest Common Factor of 820,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,463 By Matching Biggest Common Factor Method

Now, list down the factors of 820

:

1,2,4,5,10,20,41,82,164,205,410,820

Now, list down the factors of 463

:

1,463

Greatest Common Factor

We found the factors 820,463 . The biggest common factor number is the GCF number.
So the greatest common factor 820,463 is 1.

Lets's calculate LCM of 92,765

Lowest Common Multiple of 92,765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70380

Therefore, the GCF of Fractions 820/92,463/765 is 1/70380

Least Common Multiple of 92,765 with GCF Formula

Least Common Multiple of 92,765 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 92,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,765) = 1

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

GCF(92,765) x common factors =1 x 1 = 1

LCM(92,765) = ( 92 × 765 ) / 1

LCM(92,765) = 70380 / 1

LCM(92,765) = 70380


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FAQs on GCF of Fractions of 820/92, 463/765

1. What is the HCF of 820,463?

The HCF of 820,463 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 820/92, 463/765?

Answer: GCF of Numerators as per given numbers 820/92, 463/765 is

GCF of Numerators i.e. for 820,463 is 1

LCM of denominators i.e. for 92,765 is 70380.

Thus, GCF of Fractions is 1/70380.Finally, GCF of Fractions for 820/92, 463/765 is 1/70380.