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GCF of 3453/839, 5066/6477

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 3453/839, 5066/6477 i.e 1/5434203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3453/839, 5066/6477.

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 3453/839,5066/6477?

Given fractions are 3453/839,5066/6477

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 3453/839,5066/6477, numerators are 3453,5066

Denominators are 839,6477

The GCF of 3453,5066 is 1 .

LCM of 839,6477 is 5434203.

The greatest common factor of 3453/839,5066/6477 = [GCF of 3453,5066]/[LCM of 839,6477]= 1/5434203

Therefore, the GCF of 3453/839,5066/6477 is 1/5434203.

Greatest Common Factor of 3453,5066

To find the highest common factor of 3453,5066, we have to find the factors of both numbers and list the highest common factor.

The factors of 3453 are 1, 3, 1151, 3453

The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066

The HCF of 3453,5066 is 1.

Lets's calculate GCF of 3453,5066

Greatest Common Factor (GCF) of 3453,5066 By Common Division

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

Greatest Common Factor of 3453,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 3453,5066 By Matching Biggest Common Factor Method

Now, list down the factors of 3453

:

1,3,1151,3453

Now, list down the factors of 5066

:

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 3453,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,5066 is 1.


Lets's calculate LCM of 839,6477

Lowest Common Multiple of 839,6477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5434203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5434203

Therefore, the GCF of Fractions 3453/839,5066/6477 is 1/5434203

Least Common Multiple of 839,6477 with GCF Formula

Least Common Multiple of 839,6477 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 839,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,6477) = 1

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

GCF(839,6477) x common factors =1 x 1 = 1

LCM(839,6477) = ( 839 × 6477 ) / 1

LCM(839,6477) = 5434203 / 1

LCM(839,6477) = 5434203


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3453/839, 5066/6477

1. What is the HCF of 3453,5066?

The HCF of 3453,5066 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 3453/839, 5066/6477?

Answer: GCF of Numerators as per given numbers 3453/839, 5066/6477 is

GCF of Numerators i.e. for 3453,5066 is 1

LCM of denominators i.e. for 839,6477 is 5434203.

Thus, GCF of Fractions is 1/5434203.Finally, GCF of Fractions for 3453/839, 5066/6477 is 1/5434203.