How to Find GCF of 7675/843, 8903/7048?

GCF of 7675/843, 8903/7048

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 7675/843, 8903/7048 i.e 307/5941464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7675/843, 8903/7048.

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 7675/843,8903/7048?

Given fractions are 7675/843,8903/7048

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 7675/843,8903/7048, numerators are 7675,8903

Denominators are 843,7048

The GCF of 7675,8903 is 307 .

LCM of 843,7048 is 5941464.

The greatest common factor of 7675/843,8903/7048 = [GCF of 7675,8903]/[LCM of 843,7048]= 307/5941464

Therefore, the GCF of 7675/843,8903/7048 is 307/5941464.

Greatest Common Factor of 7675,8903

To find the highest common factor of 7675,8903, we have to find the factors of both numbers and list the highest common factor.

The factors of 7675 are 1, 5, 25, 307, 1535, 7675

The factors of 8903 are 1, 29, 307, 8903

The HCF of 7675,8903 is 307.

Lets's calculate GCF of 7675,8903

Greatest Common Factor (GCF) of 7675,8903 By Common Division

307	7675, 8903
	25, 29

∴ So the GCF of the given numbers is 307 = 307

Greatest Common Factor of 7675,8903 By Matching Biggest Common Factor Method

Now, list down the factors of 7675

1,5,25,307,1535,7675

Now, list down the factors of 8903

1,29,307,8903

Greatest Common Factor

We found the factors 7675,8903 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,8903 is 307.

Lets's calculate LCM of 843,7048

Lowest Common Multiple of 843,7048 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5941464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 307/5941464

Therefore, the GCF of Fractions 7675/843,8903/7048 is 307/5941464

Least Common Multiple of 843,7048 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 843,7048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,7048) = 1

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

GCF(843,7048) x common factors =1 x 1 = 1

LCM(843,7048) = ( 843 × 7048 ) / 1

LCM(843,7048) = 5941464 / 1

LCM(843,7048) = 5941464

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FAQs on GCF of Fractions of 7675/843, 8903/7048

1. What is the HCF of 7675,8903?

The HCF of 7675,8903 is 307

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 7675/843, 8903/7048?

Answer: GCF of Numerators as per given numbers 7675/843, 8903/7048 is

GCF of Numerators i.e. for 7675,8903 is 307

LCM of denominators i.e. for 843,7048 is 5941464.

Thus, GCF of Fractions is 307/5941464.Finally, GCF of Fractions for 7675/843, 8903/7048 is 307/5941464.