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GCF of 2075/100, 8491/7682

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 2075/100, 8491/7682 i.e 1/384100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2075/100, 8491/7682.

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 2075/100,8491/7682?

Given fractions are 2075/100,8491/7682

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 2075/100,8491/7682, numerators are 2075,8491

Denominators are 100,7682

The GCF of 2075,8491 is 1 .

LCM of 100,7682 is 384100.

The greatest common factor of 2075/100,8491/7682 = [GCF of 2075,8491]/[LCM of 100,7682]= 1/384100

Therefore, the GCF of 2075/100,8491/7682 is 1/384100.

Greatest Common Factor of 2075,8491

To find the highest common factor of 2075,8491, we have to find the factors of both numbers and list the highest common factor.

The factors of 2075 are 1, 5, 25, 83, 415, 2075

The factors of 8491 are 1, 7, 1213, 8491

The HCF of 2075,8491 is 1.

Lets's calculate GCF of 2075,8491

Greatest Common Factor (GCF) of 2075,8491 By Common Division

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

Greatest Common Factor of 2075,8491 By Matching Biggest Common Factor Method

Greatest Common Factor of 2075,8491 By Matching Biggest Common Factor Method

Now, list down the factors of 2075

:

1,5,25,83,415,2075

Now, list down the factors of 8491

:

1,7,1213,8491

Greatest Common Factor

We found the factors 2075,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 2075,8491 is 1.

Lets's calculate LCM of 100,7682

Lowest Common Multiple of 100,7682 using Common Division

2 100, 7682
50, 3841

∴ So the LCM of the given numbers is 2 x 50 x 3841 = 384100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384100

Therefore, the GCF of Fractions 2075/100,8491/7682 is 1/384100

Least Common Multiple of 100,7682 with GCF Formula

Least Common Multiple of 100,7682 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 100,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7682) = 2

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

GCF(100,7682) x common factors =2 x 1 = 2

LCM(100,7682) = ( 100 × 7682 ) / 2

LCM(100,7682) = 768200 / 2

LCM(100,7682) = 384100


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2075/100, 8491/7682

1. What is the HCF of 2075,8491?

The HCF of 2075,8491 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 2075/100, 8491/7682?

Answer: GCF of Numerators as per given numbers 2075/100, 8491/7682 is

GCF of Numerators i.e. for 2075,8491 is 1

LCM of denominators i.e. for 100,7682 is 384100.

Thus, GCF of Fractions is 1/384100.Finally, GCF of Fractions for 2075/100, 8491/7682 is 1/384100.