How to Find GCF of 9538/454, 3203/2665?

GCF of 9538/454, 3203/2665

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 9538/454, 3203/2665 i.e 1/1209910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9538/454, 3203/2665.

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 9538/454,3203/2665?

Given fractions are 9538/454,3203/2665

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 9538/454,3203/2665, numerators are 9538,3203

Denominators are 454,2665

The GCF of 9538,3203 is 1 .

LCM of 454,2665 is 1209910.

The greatest common factor of 9538/454,3203/2665 = [GCF of 9538,3203]/[LCM of 454,2665]= 1/1209910

Therefore, the GCF of 9538/454,3203/2665 is 1/1209910.

Greatest Common Factor of 9538,3203

To find the highest common factor of 9538,3203, we have to find the factors of both numbers and list the highest common factor.

The factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538

The factors of 3203 are 1, 3203

The HCF of 9538,3203 is 1.

Lets's calculate GCF of 9538,3203

Greatest Common Factor (GCF) of 9538,3203 By Common Division

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

Greatest Common Factor of 9538,3203 By Matching Biggest Common Factor Method

Now, list down the factors of 9538

1,2,19,38,251,502,4769,9538

Now, list down the factors of 3203

1,3203

Greatest Common Factor

We found the factors 9538,3203 . The biggest common factor number is the GCF number.
So the greatest common factor 9538,3203 is 1.

Lets's calculate LCM of 454,2665

Lowest Common Multiple of 454,2665 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1209910

Therefore, the GCF of Fractions 9538/454,3203/2665 is 1/1209910

Least Common Multiple of 454,2665 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 454,2665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,2665) = 1

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

GCF(454,2665) x common factors =1 x 1 = 1

LCM(454,2665) = ( 454 × 2665 ) / 1

LCM(454,2665) = 1209910 / 1

LCM(454,2665) = 1209910

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FAQs on GCF of Fractions of 9538/454, 3203/2665

1. What is the HCF of 9538,3203?

The HCF of 9538,3203 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 9538/454, 3203/2665?

Answer: GCF of Numerators as per given numbers 9538/454, 3203/2665 is

GCF of Numerators i.e. for 9538,3203 is 1

LCM of denominators i.e. for 454,2665 is 1209910.

Thus, GCF of Fractions is 1/1209910.Finally, GCF of Fractions for 9538/454, 3203/2665 is 1/1209910.