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GCF of 5266/949, 3142/180

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 5266/949, 3142/180 i.e 2/170820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5266/949, 3142/180.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5266/949,3142/180?

Given fractions are 5266/949,3142/180

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 5266/949,3142/180, numerators are 5266,3142

Denominators are 949,180

The GCF of 5266,3142 is 2 .

LCM of 949,180 is 170820.

The greatest common factor of 5266/949,3142/180 = [GCF of 5266,3142]/[LCM of 949,180]= 2/170820

Therefore, the GCF of 5266/949,3142/180 is 2/170820.

Greatest Common Factor of 5266,3142

To find the highest common factor of 5266,3142, we have to find the factors of both numbers and list the highest common factor.

The factors of 5266 are 1, 2, 2633, 5266

The factors of 3142 are 1, 2, 1571, 3142

The HCF of 5266,3142 is 2.

Lets's calculate GCF of 5266,3142

Greatest Common Factor (GCF) of 5266,3142 By Common Division

2 5266, 3142
2633, 1571

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

Greatest Common Factor of 5266,3142 By Matching Biggest Common Factor Method

Greatest Common Factor of 5266,3142 By Matching Biggest Common Factor Method

Now, list down the factors of 5266

:

1,2,2633,5266

Now, list down the factors of 3142

:

1,2,1571,3142

Greatest Common Factor

We found the factors 5266,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 5266,3142 is 2.

Lets's calculate LCM of 949,180

Lowest Common Multiple of 949,180 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 170820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/170820

Therefore, the GCF of Fractions 5266/949,3142/180 is 2/170820

Least Common Multiple of 949,180 with GCF Formula

Least Common Multiple of 949,180 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 949,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,180) = 1

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

GCF(949,180) x common factors =1 x 1 = 1

LCM(949,180) = ( 949 × 180 ) / 1

LCM(949,180) = 170820 / 1

LCM(949,180) = 170820


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FAQs on GCF of Fractions of 5266/949, 3142/180

1. What is the HCF of 5266,3142?

The HCF of 5266,3142 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 5266/949, 3142/180?

Answer: GCF of Numerators as per given numbers 5266/949, 3142/180 is

GCF of Numerators i.e. for 5266,3142 is 2

LCM of denominators i.e. for 949,180 is 170820.

Thus, GCF of Fractions is 2/170820.Finally, GCF of Fractions for 5266/949, 3142/180 is 2/170820.