How to Find GCF of 6974/385, 8973/1523?

GCF of 6974/385, 8973/1523

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 6974/385, 8973/1523 i.e 1/586355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6974/385, 8973/1523.

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 6974/385,8973/1523?

Given fractions are 6974/385,8973/1523

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 6974/385,8973/1523, numerators are 6974,8973

Denominators are 385,1523

The GCF of 6974,8973 is 1 .

LCM of 385,1523 is 586355.

The greatest common factor of 6974/385,8973/1523 = [GCF of 6974,8973]/[LCM of 385,1523]= 1/586355

Therefore, the GCF of 6974/385,8973/1523 is 1/586355.

Greatest Common Factor of 6974,8973

To find the highest common factor of 6974,8973, we have to find the factors of both numbers and list the highest common factor.

The factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974

The factors of 8973 are 1, 3, 9, 997, 2991, 8973

The HCF of 6974,8973 is 1.

Lets's calculate GCF of 6974,8973

Greatest Common Factor (GCF) of 6974,8973 By Common Division

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

Greatest Common Factor of 6974,8973 By Matching Biggest Common Factor Method

Now, list down the factors of 6974

1,2,11,22,317,634,3487,6974

Now, list down the factors of 8973

1,3,9,997,2991,8973

Greatest Common Factor

We found the factors 6974,8973 . The biggest common factor number is the GCF number.
So the greatest common factor 6974,8973 is 1.

Lets's calculate LCM of 385,1523

Lowest Common Multiple of 385,1523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 586355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586355

Therefore, the GCF of Fractions 6974/385,8973/1523 is 1/586355

Least Common Multiple of 385,1523 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 385,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,1523) = 1

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

GCF(385,1523) x common factors =1 x 1 = 1

LCM(385,1523) = ( 385 × 1523 ) / 1

LCM(385,1523) = 586355 / 1

LCM(385,1523) = 586355

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FAQs on GCF of Fractions of 6974/385, 8973/1523

1. What is the HCF of 6974,8973?

The HCF of 6974,8973 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 6974/385, 8973/1523?

Answer: GCF of Numerators as per given numbers 6974/385, 8973/1523 is

GCF of Numerators i.e. for 6974,8973 is 1

LCM of denominators i.e. for 385,1523 is 586355.

Thus, GCF of Fractions is 1/586355.Finally, GCF of Fractions for 6974/385, 8973/1523 is 1/586355.