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GCF of 4219/949, 6011/1016

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 4219/949, 6011/1016 i.e 1/964184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4219/949, 6011/1016.

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 4219/949,6011/1016?

Given fractions are 4219/949,6011/1016

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 4219/949,6011/1016, numerators are 4219,6011

Denominators are 949,1016

The GCF of 4219,6011 is 1 .

LCM of 949,1016 is 964184.

The greatest common factor of 4219/949,6011/1016 = [GCF of 4219,6011]/[LCM of 949,1016]= 1/964184

Therefore, the GCF of 4219/949,6011/1016 is 1/964184.

Greatest Common Factor of 4219,6011

To find the highest common factor of 4219,6011, we have to find the factors of both numbers and list the highest common factor.

The factors of 4219 are 1, 4219

The factors of 6011 are 1, 6011

The HCF of 4219,6011 is 1.

Lets's calculate GCF of 4219,6011

Greatest Common Factor (GCF) of 4219,6011 By Common Division

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

Greatest Common Factor of 4219,6011 By Matching Biggest Common Factor Method

Greatest Common Factor of 4219,6011 By Matching Biggest Common Factor Method

Now, list down the factors of 4219

:

1,4219

Now, list down the factors of 6011

:

1,6011

Greatest Common Factor

We found the factors 4219,6011 . The biggest common factor number is the GCF number.
So the greatest common factor 4219,6011 is 1.

Lets's calculate LCM of 949,1016

Lowest Common Multiple of 949,1016 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 964184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964184

Therefore, the GCF of Fractions 4219/949,6011/1016 is 1/964184

Least Common Multiple of 949,1016 with GCF Formula

Least Common Multiple of 949,1016 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 949,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,1016) = 1

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

GCF(949,1016) x common factors =1 x 1 = 1

LCM(949,1016) = ( 949 × 1016 ) / 1

LCM(949,1016) = 964184 / 1

LCM(949,1016) = 964184


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4219/949, 6011/1016

1. What is the HCF of 4219,6011?

The HCF of 4219,6011 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 4219/949, 6011/1016?

Answer: GCF of Numerators as per given numbers 4219/949, 6011/1016 is

GCF of Numerators i.e. for 4219,6011 is 1

LCM of denominators i.e. for 949,1016 is 964184.

Thus, GCF of Fractions is 1/964184.Finally, GCF of Fractions for 4219/949, 6011/1016 is 1/964184.