How to Find GCF of 875/926, 8233/4904?

GCF of 875/926, 8233/4904

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 875/926, 8233/4904 i.e 1/2270552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/926, 8233/4904.

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 875/926,8233/4904?

Given fractions are 875/926,8233/4904

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 875/926,8233/4904, numerators are 875,8233

Denominators are 926,4904

The GCF of 875,8233 is 1 .

LCM of 926,4904 is 2270552.

The greatest common factor of 875/926,8233/4904 = [GCF of 875,8233]/[LCM of 926,4904]= 1/2270552

Therefore, the GCF of 875/926,8233/4904 is 1/2270552.

Greatest Common Factor of 875,8233

To find the highest common factor of 875,8233, we have to find the factors of both numbers and list the highest common factor.

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875

The factors of 8233 are 1, 8233

The HCF of 875,8233 is 1.

Lets's calculate GCF of 875,8233

Greatest Common Factor (GCF) of 875,8233 By Common Division

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

Greatest Common Factor of 875,8233 By Matching Biggest Common Factor Method

Now, list down the factors of 875

1,5,7,25,35,125,175,875

Now, list down the factors of 8233

1,8233

Greatest Common Factor

We found the factors 875,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 875,8233 is 1.

Lets's calculate LCM of 926,4904

Lowest Common Multiple of 926,4904 using Common Division

2	926, 4904
	463, 2452

∴ So the LCM of the given numbers is 2 x 463 x 2452 = 2270552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2270552

Therefore, the GCF of Fractions 875/926,8233/4904 is 1/2270552

Least Common Multiple of 926,4904 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 926,4904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,4904) = 2

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

GCF(926,4904) x common factors =2 x 1 = 2

LCM(926,4904) = ( 926 × 4904 ) / 2

LCM(926,4904) = 4541104 / 2

LCM(926,4904) = 2270552

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 875/926, 8233/4904

1. What is the HCF of 875,8233?

The HCF of 875,8233 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 875/926, 8233/4904?

Answer: GCF of Numerators as per given numbers 875/926, 8233/4904 is

GCF of Numerators i.e. for 875,8233 is 1

LCM of denominators i.e. for 926,4904 is 2270552.

Thus, GCF of Fractions is 1/2270552.Finally, GCF of Fractions for 875/926, 8233/4904 is 1/2270552.