How to Find GCF of 7853/398, 7974/908?

GCF of 7853/398, 7974/908

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 7853/398, 7974/908 i.e 1/180692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7853/398, 7974/908.

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 7853/398,7974/908?

Given fractions are 7853/398,7974/908

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 7853/398,7974/908, numerators are 7853,7974

Denominators are 398,908

The GCF of 7853,7974 is 1 .

LCM of 398,908 is 180692.

The greatest common factor of 7853/398,7974/908 = [GCF of 7853,7974]/[LCM of 398,908]= 1/180692

Therefore, the GCF of 7853/398,7974/908 is 1/180692.

Greatest Common Factor of 7853,7974

To find the highest common factor of 7853,7974, we have to find the factors of both numbers and list the highest common factor.

The factors of 7853 are 1, 7853

The factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974

The HCF of 7853,7974 is 1.

Lets's calculate GCF of 7853,7974

Greatest Common Factor (GCF) of 7853,7974 By Common Division

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

Greatest Common Factor of 7853,7974 By Matching Biggest Common Factor Method

Now, list down the factors of 7853

1,7853

Now, list down the factors of 7974

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 7853,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 7853,7974 is 1.

Lets's calculate LCM of 398,908

Lowest Common Multiple of 398,908 using Common Division

2	398, 908
	199, 454

∴ So the LCM of the given numbers is 2 x 199 x 454 = 180692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180692

Therefore, the GCF of Fractions 7853/398,7974/908 is 1/180692

Least Common Multiple of 398,908 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 398,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,908) = 2

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

GCF(398,908) x common factors =2 x 1 = 2

LCM(398,908) = ( 398 × 908 ) / 2

LCM(398,908) = 361384 / 2

LCM(398,908) = 180692

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FAQs on GCF of Fractions of 7853/398, 7974/908

1. What is the HCF of 7853,7974?

The HCF of 7853,7974 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 7853/398, 7974/908?

Answer: GCF of Numerators as per given numbers 7853/398, 7974/908 is

GCF of Numerators i.e. for 7853,7974 is 1

LCM of denominators i.e. for 398,908 is 180692.

Thus, GCF of Fractions is 1/180692.Finally, GCF of Fractions for 7853/398, 7974/908 is 1/180692.