How to Find GCF of 1080/222, 6274/4961?

GCF of 1080/222, 6274/4961

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 1080/222, 6274/4961 i.e 2/1101342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1080/222, 6274/4961.

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 1080/222,6274/4961?

Given fractions are 1080/222,6274/4961

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 1080/222,6274/4961, numerators are 1080,6274

Denominators are 222,4961

The GCF of 1080,6274 is 2 .

LCM of 222,4961 is 1101342.

The greatest common factor of 1080/222,6274/4961 = [GCF of 1080,6274]/[LCM of 222,4961]= 2/1101342

Therefore, the GCF of 1080/222,6274/4961 is 2/1101342.

Greatest Common Factor of 1080,6274

To find the highest common factor of 1080,6274, we have to find the factors of both numbers and list the highest common factor.

The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080

The factors of 6274 are 1, 2, 3137, 6274

The HCF of 1080,6274 is 2.

Lets's calculate GCF of 1080,6274

Greatest Common Factor (GCF) of 1080,6274 By Common Division

2	1080, 6274
	540, 3137

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

Greatest Common Factor of 1080,6274 By Matching Biggest Common Factor Method

Now, list down the factors of 1080

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080

Now, list down the factors of 6274

1,2,3137,6274

Greatest Common Factor

We found the factors 1080,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 1080,6274 is 2.

Lets's calculate LCM of 222,4961

Lowest Common Multiple of 222,4961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1101342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1101342

Therefore, the GCF of Fractions 1080/222,6274/4961 is 2/1101342

Least Common Multiple of 222,4961 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 222,4961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,4961) = 1

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

GCF(222,4961) x common factors =1 x 1 = 1

LCM(222,4961) = ( 222 × 4961 ) / 1

LCM(222,4961) = 1101342 / 1

LCM(222,4961) = 1101342

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FAQs on GCF of Fractions of 1080/222, 6274/4961

1. What is the HCF of 1080,6274?

The HCF of 1080,6274 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 1080/222, 6274/4961?

Answer: GCF of Numerators as per given numbers 1080/222, 6274/4961 is

GCF of Numerators i.e. for 1080,6274 is 2

LCM of denominators i.e. for 222,4961 is 1101342.

Thus, GCF of Fractions is 2/1101342.Finally, GCF of Fractions for 1080/222, 6274/4961 is 2/1101342.