How to Find GCF of 4551/925, 8681/8523?

GCF of 4551/925, 8681/8523

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 4551/925, 8681/8523 i.e 1/7883775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4551/925, 8681/8523.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4551/925,8681/8523?

Given fractions are 4551/925,8681/8523

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 4551/925,8681/8523, numerators are 4551,8681

Denominators are 925,8523

The GCF of 4551,8681 is 1 .

LCM of 925,8523 is 7883775.

The greatest common factor of 4551/925,8681/8523 = [GCF of 4551,8681]/[LCM of 925,8523]= 1/7883775

Therefore, the GCF of 4551/925,8681/8523 is 1/7883775.

Greatest Common Factor of 4551,8681

To find the highest common factor of 4551,8681, we have to find the factors of both numbers and list the highest common factor.

The factors of 4551 are 1, 3, 37, 41, 111, 123, 1517, 4551

The factors of 8681 are 1, 8681

The HCF of 4551,8681 is 1.

Lets's calculate GCF of 4551,8681

Greatest Common Factor (GCF) of 4551,8681 By Common Division

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

Greatest Common Factor of 4551,8681 By Matching Biggest Common Factor Method

Now, list down the factors of 4551

1,3,37,41,111,123,1517,4551

Now, list down the factors of 8681

1,8681

Greatest Common Factor

We found the factors 4551,8681 . The biggest common factor number is the GCF number.
So the greatest common factor 4551,8681 is 1.

Lets's calculate LCM of 925,8523

Lowest Common Multiple of 925,8523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7883775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7883775

Therefore, the GCF of Fractions 4551/925,8681/8523 is 1/7883775

Least Common Multiple of 925,8523 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 925,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,8523) = 1

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

GCF(925,8523) x common factors =1 x 1 = 1

LCM(925,8523) = ( 925 × 8523 ) / 1

LCM(925,8523) = 7883775 / 1

LCM(925,8523) = 7883775

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FAQs on GCF of Fractions of 4551/925, 8681/8523

1. What is the HCF of 4551,8681?

The HCF of 4551,8681 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 4551/925, 8681/8523?

Answer: GCF of Numerators as per given numbers 4551/925, 8681/8523 is

GCF of Numerators i.e. for 4551,8681 is 1

LCM of denominators i.e. for 925,8523 is 7883775.

Thus, GCF of Fractions is 1/7883775.Finally, GCF of Fractions for 4551/925, 8681/8523 is 1/7883775.