How to Find GCF of 1237/484, 3880/8602?

GCF of 1237/484, 3880/8602

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 1237/484, 3880/8602 i.e 1/189244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1237/484, 3880/8602.

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 1237/484,3880/8602?

Given fractions are 1237/484,3880/8602

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 1237/484,3880/8602, numerators are 1237,3880

Denominators are 484,8602

The GCF of 1237,3880 is 1 .

LCM of 484,8602 is 189244.

The greatest common factor of 1237/484,3880/8602 = [GCF of 1237,3880]/[LCM of 484,8602]= 1/189244

Therefore, the GCF of 1237/484,3880/8602 is 1/189244.

Greatest Common Factor of 1237,3880

To find the highest common factor of 1237,3880, we have to find the factors of both numbers and list the highest common factor.

The factors of 1237 are 1, 1237

The factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

The HCF of 1237,3880 is 1.

Lets's calculate GCF of 1237,3880

Greatest Common Factor (GCF) of 1237,3880 By Common Division

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

Greatest Common Factor of 1237,3880 By Matching Biggest Common Factor Method

Now, list down the factors of 1237

1,1237

Now, list down the factors of 3880

1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880

Greatest Common Factor

We found the factors 1237,3880 . The biggest common factor number is the GCF number.
So the greatest common factor 1237,3880 is 1.

Lets's calculate LCM of 484,8602

Lowest Common Multiple of 484,8602 using Common Division

2	484, 8602
11	242, 4301
	22, 391

∴ So the LCM of the given numbers is 2 x 11 x 22 x 391 = 189244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189244

Therefore, the GCF of Fractions 1237/484,3880/8602 is 1/189244

Least Common Multiple of 484,8602 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 484,8602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,8602) = 22

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

GCF(484,8602) x common factors =22 x 1 = 22

LCM(484,8602) = ( 484 × 8602 ) / 22

LCM(484,8602) = 4163368 / 22

LCM(484,8602) = 189244

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FAQs on GCF of Fractions of 1237/484, 3880/8602

1. What is the HCF of 1237,3880?

The HCF of 1237,3880 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 1237/484, 3880/8602?

Answer: GCF of Numerators as per given numbers 1237/484, 3880/8602 is

GCF of Numerators i.e. for 1237,3880 is 1

LCM of denominators i.e. for 484,8602 is 189244.

Thus, GCF of Fractions is 1/189244.Finally, GCF of Fractions for 1237/484, 3880/8602 is 1/189244.