How to Find GCF of 34/875, 26/237, 265/818?

GCF of 34/875, 26/237, 265/818

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 34/875, 26/237, 265/818 i.e 1/169632750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/875, 26/237, 265/818.

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 34/875,26/237,265/818?

Given fractions are 34/875,26/237,265/818

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 34/875,26/237,265/818, numerators are 34,26,265

Denominators are 875,237,818

The GCF of 34,26,265 is 1 .

LCM of 875,237,818 is 169632750.

The greatest common factor of 34/875,26/237,265/818 = [GCF of 34,26,265]/[LCM of 875,237,818]= 1/169632750

Therefore, the GCF of 34/875,26/237,265/818 is 1/169632750.

Greatest Common Factor of 34,26,265

To find the highest common factor of 34,26,265, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 26 are 1, 2, 13, 26

The factors of 265 are 1, 5, 53, 265

The HCF of 34,26,265 is 1.

Lets's calculate GCF of 34,26,265

Greatest Common Factor (GCF) of 34,26,265 By Common Division

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

Greatest Common Factor of 34,26,265 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 265

1,5,53,265

Greatest Common Factor

We found the factors 34,26,265 . The biggest common factor number is the GCF number.
So the greatest common factor 34,26,265 is 1.

Lets's calculate LCM of 875,237,818

Lowest Common Multiple of 875,237,818 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 169632750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169632750

Therefore, the GCF of Fractions 34/875,26/237,265/818 is 1/169632750

Least Common Multiple of 875,237,818 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 875,237,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,237,818) = 1

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

GCF(875,237,818) x common factors =1 x 1 = 1

LCM(875,237,818) = ( 875 × 237 × 818 ) / 1

LCM(875,237,818) = 169632750 / 1

LCM(875,237,818) = 169632750

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FAQs on GCF of Fractions of 34/875, 26/237, 265/818

1. What is the HCF of 34,26,265?

The HCF of 34,26,265 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 34/875, 26/237, 265/818?

Answer: GCF of Numerators as per given numbers 34/875, 26/237, 265/818 is

GCF of Numerators i.e. for 34,26,265 is 1

LCM of denominators i.e. for 875,237,818 is 169632750.

Thus, GCF of Fractions is 1/169632750.Finally, GCF of Fractions for 34/875, 26/237, 265/818 is 1/169632750.