How to Find GCF of 5602/686, 1693/7536?

GCF of 5602/686, 1693/7536

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 5602/686, 1693/7536 i.e 1/2584848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5602/686, 1693/7536.

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 5602/686,1693/7536?

Given fractions are 5602/686,1693/7536

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 5602/686,1693/7536, numerators are 5602,1693

Denominators are 686,7536

The GCF of 5602,1693 is 1 .

LCM of 686,7536 is 2584848.

The greatest common factor of 5602/686,1693/7536 = [GCF of 5602,1693]/[LCM of 686,7536]= 1/2584848

Therefore, the GCF of 5602/686,1693/7536 is 1/2584848.

Greatest Common Factor of 5602,1693

To find the highest common factor of 5602,1693, we have to find the factors of both numbers and list the highest common factor.

The factors of 5602 are 1, 2, 2801, 5602

The factors of 1693 are 1, 1693

The HCF of 5602,1693 is 1.

Lets's calculate GCF of 5602,1693

Greatest Common Factor (GCF) of 5602,1693 By Common Division

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

Greatest Common Factor of 5602,1693 By Matching Biggest Common Factor Method

Now, list down the factors of 5602

1,2,2801,5602

Now, list down the factors of 1693

1,1693

Greatest Common Factor

We found the factors 5602,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 5602,1693 is 1.

Lets's calculate LCM of 686,7536

Lowest Common Multiple of 686,7536 using Common Division

2	686, 7536
	343, 3768

∴ So the LCM of the given numbers is 2 x 343 x 3768 = 2584848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2584848

Therefore, the GCF of Fractions 5602/686,1693/7536 is 1/2584848

Least Common Multiple of 686,7536 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 686,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,7536) = 2

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

GCF(686,7536) x common factors =2 x 1 = 2

LCM(686,7536) = ( 686 × 7536 ) / 2

LCM(686,7536) = 5169696 / 2

LCM(686,7536) = 2584848

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FAQs on GCF of Fractions of 5602/686, 1693/7536

1. What is the HCF of 5602,1693?

The HCF of 5602,1693 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 5602/686, 1693/7536?

Answer: GCF of Numerators as per given numbers 5602/686, 1693/7536 is

GCF of Numerators i.e. for 5602,1693 is 1

LCM of denominators i.e. for 686,7536 is 2584848.

Thus, GCF of Fractions is 1/2584848.Finally, GCF of Fractions for 5602/686, 1693/7536 is 1/2584848.