How to Find GCF of 2822/663, 5502/9157?

GCF of 2822/663, 5502/9157

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 2822/663, 5502/9157 i.e 2/6071091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2822/663, 5502/9157.

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 2822/663,5502/9157?

Given fractions are 2822/663,5502/9157

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 2822/663,5502/9157, numerators are 2822,5502

Denominators are 663,9157

The GCF of 2822,5502 is 2 .

LCM of 663,9157 is 6071091.

The greatest common factor of 2822/663,5502/9157 = [GCF of 2822,5502]/[LCM of 663,9157]= 2/6071091

Therefore, the GCF of 2822/663,5502/9157 is 2/6071091.

Greatest Common Factor of 2822,5502

To find the highest common factor of 2822,5502, we have to find the factors of both numbers and list the highest common factor.

The factors of 2822 are 1, 2, 17, 34, 83, 166, 1411, 2822

The factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502

The HCF of 2822,5502 is 2.

Lets's calculate GCF of 2822,5502

Greatest Common Factor (GCF) of 2822,5502 By Common Division

2	2822, 5502
	1411, 2751

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2822,5502 By Matching Biggest Common Factor Method

Now, list down the factors of 2822

1,2,17,34,83,166,1411,2822

Now, list down the factors of 5502

1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502

Greatest Common Factor

We found the factors 2822,5502 . The biggest common factor number is the GCF number.
So the greatest common factor 2822,5502 is 2.

Lets's calculate LCM of 663,9157

Lowest Common Multiple of 663,9157 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6071091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6071091

Therefore, the GCF of Fractions 2822/663,5502/9157 is 2/6071091

Least Common Multiple of 663,9157 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 663,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,9157) = 1

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

GCF(663,9157) x common factors =1 x 1 = 1

LCM(663,9157) = ( 663 × 9157 ) / 1

LCM(663,9157) = 6071091 / 1

LCM(663,9157) = 6071091

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2822/663, 5502/9157

1. What is the HCF of 2822,5502?

The HCF of 2822,5502 is 2

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 2822/663, 5502/9157?

Answer: GCF of Numerators as per given numbers 2822/663, 5502/9157 is

GCF of Numerators i.e. for 2822,5502 is 2

LCM of denominators i.e. for 663,9157 is 6071091.

Thus, GCF of Fractions is 2/6071091.Finally, GCF of Fractions for 2822/663, 5502/9157 is 2/6071091.