How to Find GCF of 5651/704, 3466/9136?

GCF of 5651/704, 3466/9136

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 5651/704, 3466/9136 i.e 1/401984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5651/704, 3466/9136.

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 5651/704,3466/9136?

Given fractions are 5651/704,3466/9136

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 5651/704,3466/9136, numerators are 5651,3466

Denominators are 704,9136

The GCF of 5651,3466 is 1 .

LCM of 704,9136 is 401984.

The greatest common factor of 5651/704,3466/9136 = [GCF of 5651,3466]/[LCM of 704,9136]= 1/401984

Therefore, the GCF of 5651/704,3466/9136 is 1/401984.

Greatest Common Factor of 5651,3466

To find the highest common factor of 5651,3466, we have to find the factors of both numbers and list the highest common factor.

The factors of 5651 are 1, 5651

The factors of 3466 are 1, 2, 1733, 3466

The HCF of 5651,3466 is 1.

Lets's calculate GCF of 5651,3466

Greatest Common Factor (GCF) of 5651,3466 By Common Division

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

Greatest Common Factor of 5651,3466 By Matching Biggest Common Factor Method

Now, list down the factors of 5651

1,5651

Now, list down the factors of 3466

1,2,1733,3466

Greatest Common Factor

We found the factors 5651,3466 . The biggest common factor number is the GCF number.
So the greatest common factor 5651,3466 is 1.

Lets's calculate LCM of 704,9136

Lowest Common Multiple of 704,9136 using Common Division

2	704, 9136
2	352, 4568
2	176, 2284
2	88, 1142
	44, 571

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 44 x 571 = 401984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401984

Therefore, the GCF of Fractions 5651/704,3466/9136 is 1/401984

Least Common Multiple of 704,9136 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 704,9136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,9136) = 16

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

GCF(704,9136) x common factors =16 x 1 = 16

LCM(704,9136) = ( 704 × 9136 ) / 16

LCM(704,9136) = 6431744 / 16

LCM(704,9136) = 401984

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FAQs on GCF of Fractions of 5651/704, 3466/9136

1. What is the HCF of 5651,3466?

The HCF of 5651,3466 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 5651/704, 3466/9136?

Answer: GCF of Numerators as per given numbers 5651/704, 3466/9136 is

GCF of Numerators i.e. for 5651,3466 is 1

LCM of denominators i.e. for 704,9136 is 401984.

Thus, GCF of Fractions is 1/401984.Finally, GCF of Fractions for 5651/704, 3466/9136 is 1/401984.