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GCF of 3989/549, 6226/702

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 3989/549, 6226/702 i.e 1/42822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3989/549, 6226/702.

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 3989/549,6226/702?

Given fractions are 3989/549,6226/702

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 3989/549,6226/702, numerators are 3989,6226

Denominators are 549,702

The GCF of 3989,6226 is 1 .

LCM of 549,702 is 42822.

The greatest common factor of 3989/549,6226/702 = [GCF of 3989,6226]/[LCM of 549,702]= 1/42822

Therefore, the GCF of 3989/549,6226/702 is 1/42822.

Greatest Common Factor of 3989,6226

To find the highest common factor of 3989,6226, we have to find the factors of both numbers and list the highest common factor.

The factors of 3989 are 1, 3989

The factors of 6226 are 1, 2, 11, 22, 283, 566, 3113, 6226

The HCF of 3989,6226 is 1.

Lets's calculate GCF of 3989,6226

Greatest Common Factor (GCF) of 3989,6226 By Common Division

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

Greatest Common Factor of 3989,6226 By Matching Biggest Common Factor Method

Greatest Common Factor of 3989,6226 By Matching Biggest Common Factor Method

Now, list down the factors of 3989

:

1,3989

Now, list down the factors of 6226

:

1,2,11,22,283,566,3113,6226

Greatest Common Factor

We found the factors 3989,6226 . The biggest common factor number is the GCF number.
So the greatest common factor 3989,6226 is 1.

Lets's calculate LCM of 549,702

Lowest Common Multiple of 549,702 using Common Division

3 549, 702
3 183, 234
61, 78

∴ So the LCM of the given numbers is 3 x 3 x 61 x 78 = 42822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42822

Therefore, the GCF of Fractions 3989/549,6226/702 is 1/42822

Least Common Multiple of 549,702 with GCF Formula

Least Common Multiple of 549,702 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 549,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,702) = 9

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

GCF(549,702) x common factors =9 x 1 = 9

LCM(549,702) = ( 549 × 702 ) / 9

LCM(549,702) = 385398 / 9

LCM(549,702) = 42822


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FAQs on GCF of Fractions of 3989/549, 6226/702

1. What is the HCF of 3989,6226?

The HCF of 3989,6226 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 3989/549, 6226/702?

Answer: GCF of Numerators as per given numbers 3989/549, 6226/702 is

GCF of Numerators i.e. for 3989,6226 is 1

LCM of denominators i.e. for 549,702 is 42822.

Thus, GCF of Fractions is 1/42822.Finally, GCF of Fractions for 3989/549, 6226/702 is 1/42822.