How to Find GCF of 803/869, 4862/7612?

GCF of 803/869, 4862/7612

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 803/869, 4862/7612 i.e 11/601348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/869, 4862/7612.

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 803/869,4862/7612?

Given fractions are 803/869,4862/7612

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 803/869,4862/7612, numerators are 803,4862

Denominators are 869,7612

The GCF of 803,4862 is 11 .

LCM of 869,7612 is 601348.

The greatest common factor of 803/869,4862/7612 = [GCF of 803,4862]/[LCM of 869,7612]= 11/601348

Therefore, the GCF of 803/869,4862/7612 is 11/601348.

Greatest Common Factor of 803,4862

To find the highest common factor of 803,4862, we have to find the factors of both numbers and list the highest common factor.

The factors of 803 are 1, 11, 73, 803

The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862

The HCF of 803,4862 is 11.

Lets's calculate GCF of 803,4862

Greatest Common Factor (GCF) of 803,4862 By Common Division

11	803, 4862
	73, 442

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 803,4862 By Matching Biggest Common Factor Method

Now, list down the factors of 803

1,11,73,803

Now, list down the factors of 4862

1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862

Greatest Common Factor

We found the factors 803,4862 . The biggest common factor number is the GCF number.
So the greatest common factor 803,4862 is 11.

Lets's calculate LCM of 869,7612

Lowest Common Multiple of 869,7612 using Common Division

11	869, 7612
	79, 692

∴ So the LCM of the given numbers is 11 x 79 x 692 = 601348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/601348

Therefore, the GCF of Fractions 803/869,4862/7612 is 11/601348

Least Common Multiple of 869,7612 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 869,7612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,7612) = 11

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

GCF(869,7612) x common factors =11 x 1 = 11

LCM(869,7612) = ( 869 × 7612 ) / 11

LCM(869,7612) = 6614828 / 11

LCM(869,7612) = 601348

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FAQs on GCF of Fractions of 803/869, 4862/7612

1. What is the HCF of 803,4862?

The HCF of 803,4862 is 11

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 803/869, 4862/7612?

Answer: GCF of Numerators as per given numbers 803/869, 4862/7612 is

GCF of Numerators i.e. for 803,4862 is 11

LCM of denominators i.e. for 869,7612 is 601348.

Thus, GCF of Fractions is 11/601348.Finally, GCF of Fractions for 803/869, 4862/7612 is 11/601348.