How to Find GCF of 3878/899, 4369/9521?

GCF of 3878/899, 4369/9521

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 3878/899, 4369/9521 i.e 1/8559379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3878/899, 4369/9521.

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 3878/899,4369/9521?

Given fractions are 3878/899,4369/9521

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 3878/899,4369/9521, numerators are 3878,4369

Denominators are 899,9521

The GCF of 3878,4369 is 1 .

LCM of 899,9521 is 8559379.

The greatest common factor of 3878/899,4369/9521 = [GCF of 3878,4369]/[LCM of 899,9521]= 1/8559379

Therefore, the GCF of 3878/899,4369/9521 is 1/8559379.

Greatest Common Factor of 3878,4369

To find the highest common factor of 3878,4369, we have to find the factors of both numbers and list the highest common factor.

The factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878

The factors of 4369 are 1, 17, 257, 4369

The HCF of 3878,4369 is 1.

Lets's calculate GCF of 3878,4369

Greatest Common Factor (GCF) of 3878,4369 By Common Division

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

Greatest Common Factor of 3878,4369 By Matching Biggest Common Factor Method

Now, list down the factors of 3878

1,2,7,14,277,554,1939,3878

Now, list down the factors of 4369

1,17,257,4369

Greatest Common Factor

We found the factors 3878,4369 . The biggest common factor number is the GCF number.
So the greatest common factor 3878,4369 is 1.

Lets's calculate LCM of 899,9521

Lowest Common Multiple of 899,9521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8559379

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8559379

Therefore, the GCF of Fractions 3878/899,4369/9521 is 1/8559379

Least Common Multiple of 899,9521 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 899,9521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,9521) = 1

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

GCF(899,9521) x common factors =1 x 1 = 1

LCM(899,9521) = ( 899 × 9521 ) / 1

LCM(899,9521) = 8559379 / 1

LCM(899,9521) = 8559379

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FAQs on GCF of Fractions of 3878/899, 4369/9521

1. What is the HCF of 3878,4369?

The HCF of 3878,4369 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 3878/899, 4369/9521?

Answer: GCF of Numerators as per given numbers 3878/899, 4369/9521 is

GCF of Numerators i.e. for 3878,4369 is 1

LCM of denominators i.e. for 899,9521 is 8559379.

Thus, GCF of Fractions is 1/8559379.Finally, GCF of Fractions for 3878/899, 4369/9521 is 1/8559379.