How to Find GCF of 9508/584, 6499/7523?

GCF of 9508/584, 6499/7523

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 9508/584, 6499/7523 i.e 1/4393432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9508/584, 6499/7523.

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 9508/584,6499/7523?

Given fractions are 9508/584,6499/7523

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 9508/584,6499/7523, numerators are 9508,6499

Denominators are 584,7523

The GCF of 9508,6499 is 1 .

LCM of 584,7523 is 4393432.

The greatest common factor of 9508/584,6499/7523 = [GCF of 9508,6499]/[LCM of 584,7523]= 1/4393432

Therefore, the GCF of 9508/584,6499/7523 is 1/4393432.

Greatest Common Factor of 9508,6499

To find the highest common factor of 9508,6499, we have to find the factors of both numbers and list the highest common factor.

The factors of 9508 are 1, 2, 4, 2377, 4754, 9508

The factors of 6499 are 1, 67, 97, 6499

The HCF of 9508,6499 is 1.

Lets's calculate GCF of 9508,6499

Greatest Common Factor (GCF) of 9508,6499 By Common Division

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

Greatest Common Factor of 9508,6499 By Matching Biggest Common Factor Method

Now, list down the factors of 9508

1,2,4,2377,4754,9508

Now, list down the factors of 6499

1,67,97,6499

Greatest Common Factor

We found the factors 9508,6499 . The biggest common factor number is the GCF number.
So the greatest common factor 9508,6499 is 1.

Lets's calculate LCM of 584,7523

Lowest Common Multiple of 584,7523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4393432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4393432

Therefore, the GCF of Fractions 9508/584,6499/7523 is 1/4393432

Least Common Multiple of 584,7523 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 584,7523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,7523) = 1

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

GCF(584,7523) x common factors =1 x 1 = 1

LCM(584,7523) = ( 584 × 7523 ) / 1

LCM(584,7523) = 4393432 / 1

LCM(584,7523) = 4393432

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FAQs on GCF of Fractions of 9508/584, 6499/7523

1. What is the HCF of 9508,6499?

The HCF of 9508,6499 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 9508/584, 6499/7523?

Answer: GCF of Numerators as per given numbers 9508/584, 6499/7523 is

GCF of Numerators i.e. for 9508,6499 is 1

LCM of denominators i.e. for 584,7523 is 4393432.

Thus, GCF of Fractions is 1/4393432.Finally, GCF of Fractions for 9508/584, 6499/7523 is 1/4393432.