How to Find GCF of 3538/963, 9650/5354?

GCF of 3538/963, 9650/5354

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 3538/963, 9650/5354 i.e 2/5155902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3538/963, 9650/5354.

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 3538/963,9650/5354?

Given fractions are 3538/963,9650/5354

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 3538/963,9650/5354, numerators are 3538,9650

Denominators are 963,5354

The GCF of 3538,9650 is 2 .

LCM of 963,5354 is 5155902.

The greatest common factor of 3538/963,9650/5354 = [GCF of 3538,9650]/[LCM of 963,5354]= 2/5155902

Therefore, the GCF of 3538/963,9650/5354 is 2/5155902.

Greatest Common Factor of 3538,9650

To find the highest common factor of 3538,9650, we have to find the factors of both numbers and list the highest common factor.

The factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538

The factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650

The HCF of 3538,9650 is 2.

Lets's calculate GCF of 3538,9650

Greatest Common Factor (GCF) of 3538,9650 By Common Division

2	3538, 9650
	1769, 4825

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3538,9650 By Matching Biggest Common Factor Method

Now, list down the factors of 3538

1,2,29,58,61,122,1769,3538

Now, list down the factors of 9650

1,2,5,10,25,50,193,386,965,1930,4825,9650

Greatest Common Factor

We found the factors 3538,9650 . The biggest common factor number is the GCF number.
So the greatest common factor 3538,9650 is 2.

Lets's calculate LCM of 963,5354

Lowest Common Multiple of 963,5354 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5155902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5155902

Therefore, the GCF of Fractions 3538/963,9650/5354 is 2/5155902

Least Common Multiple of 963,5354 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 963,5354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,5354) = 1

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

GCF(963,5354) x common factors =1 x 1 = 1

LCM(963,5354) = ( 963 × 5354 ) / 1

LCM(963,5354) = 5155902 / 1

LCM(963,5354) = 5155902

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FAQs on GCF of Fractions of 3538/963, 9650/5354

1. What is the HCF of 3538,9650?

The HCF of 3538,9650 is 2

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 3538/963, 9650/5354?

Answer: GCF of Numerators as per given numbers 3538/963, 9650/5354 is

GCF of Numerators i.e. for 3538,9650 is 2

LCM of denominators i.e. for 963,5354 is 5155902.

Thus, GCF of Fractions is 2/5155902.Finally, GCF of Fractions for 3538/963, 9650/5354 is 2/5155902.