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GCF of 8482/853, 7867/416

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 8482/853, 7867/416 i.e 1/354848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8482/853, 7867/416.

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 8482/853,7867/416?

Given fractions are 8482/853,7867/416

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 8482/853,7867/416, numerators are 8482,7867

Denominators are 853,416

The GCF of 8482,7867 is 1 .

LCM of 853,416 is 354848.

The greatest common factor of 8482/853,7867/416 = [GCF of 8482,7867]/[LCM of 853,416]= 1/354848

Therefore, the GCF of 8482/853,7867/416 is 1/354848.

Greatest Common Factor of 8482,7867

To find the highest common factor of 8482,7867, we have to find the factors of both numbers and list the highest common factor.

The factors of 8482 are 1, 2, 4241, 8482

The factors of 7867 are 1, 7867

The HCF of 8482,7867 is 1.

Lets's calculate GCF of 8482,7867

Greatest Common Factor (GCF) of 8482,7867 By Common Division

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

Greatest Common Factor of 8482,7867 By Matching Biggest Common Factor Method

Greatest Common Factor of 8482,7867 By Matching Biggest Common Factor Method

Now, list down the factors of 8482

:

1,2,4241,8482

Now, list down the factors of 7867

:

1,7867

Greatest Common Factor

We found the factors 8482,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,7867 is 1.

Lets's calculate LCM of 853,416

Lowest Common Multiple of 853,416 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 354848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354848

Therefore, the GCF of Fractions 8482/853,7867/416 is 1/354848

Least Common Multiple of 853,416 with GCF Formula

Least Common Multiple of 853,416 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 853,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,416) = 1

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

GCF(853,416) x common factors =1 x 1 = 1

LCM(853,416) = ( 853 × 416 ) / 1

LCM(853,416) = 354848 / 1

LCM(853,416) = 354848


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FAQs on GCF of Fractions of 8482/853, 7867/416

1. What is the HCF of 8482,7867?

The HCF of 8482,7867 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 8482/853, 7867/416?

Answer: GCF of Numerators as per given numbers 8482/853, 7867/416 is

GCF of Numerators i.e. for 8482,7867 is 1

LCM of denominators i.e. for 853,416 is 354848.

Thus, GCF of Fractions is 1/354848.Finally, GCF of Fractions for 8482/853, 7867/416 is 1/354848.