How to Find GCF of 4737/896, 3538/935?

GCF of 4737/896, 3538/935

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 4737/896, 3538/935 i.e 1/837760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4737/896, 3538/935.

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 4737/896,3538/935?

Given fractions are 4737/896,3538/935

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 4737/896,3538/935, numerators are 4737,3538

Denominators are 896,935

The GCF of 4737,3538 is 1 .

LCM of 896,935 is 837760.

The greatest common factor of 4737/896,3538/935 = [GCF of 4737,3538]/[LCM of 896,935]= 1/837760

Therefore, the GCF of 4737/896,3538/935 is 1/837760.

Greatest Common Factor of 4737,3538

To find the highest common factor of 4737,3538, we have to find the factors of both numbers and list the highest common factor.

The factors of 4737 are 1, 3, 1579, 4737

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

The HCF of 4737,3538 is 1.

Lets's calculate GCF of 4737,3538

Greatest Common Factor (GCF) of 4737,3538 By Common Division

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

Greatest Common Factor of 4737,3538 By Matching Biggest Common Factor Method

Now, list down the factors of 4737

1,3,1579,4737

Now, list down the factors of 3538

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

Greatest Common Factor

We found the factors 4737,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,3538 is 1.

Lets's calculate LCM of 896,935

Lowest Common Multiple of 896,935 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 837760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/837760

Therefore, the GCF of Fractions 4737/896,3538/935 is 1/837760

Least Common Multiple of 896,935 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 896,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,935) = 1

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

GCF(896,935) x common factors =1 x 1 = 1

LCM(896,935) = ( 896 × 935 ) / 1

LCM(896,935) = 837760 / 1

LCM(896,935) = 837760

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FAQs on GCF of Fractions of 4737/896, 3538/935

1. What is the HCF of 4737,3538?

The HCF of 4737,3538 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 4737/896, 3538/935?

Answer: GCF of Numerators as per given numbers 4737/896, 3538/935 is

GCF of Numerators i.e. for 4737,3538 is 1

LCM of denominators i.e. for 896,935 is 837760.

Thus, GCF of Fractions is 1/837760.Finally, GCF of Fractions for 4737/896, 3538/935 is 1/837760.