How to Find GCF of 3526/802, 6517/4546?

GCF of 3526/802, 6517/4546

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 3526/802, 6517/4546 i.e 1/1822946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3526/802, 6517/4546.

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 3526/802,6517/4546?

Given fractions are 3526/802,6517/4546

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 3526/802,6517/4546, numerators are 3526,6517

Denominators are 802,4546

The GCF of 3526,6517 is 1 .

LCM of 802,4546 is 1822946.

The greatest common factor of 3526/802,6517/4546 = [GCF of 3526,6517]/[LCM of 802,4546]= 1/1822946

Therefore, the GCF of 3526/802,6517/4546 is 1/1822946.

Greatest Common Factor of 3526,6517

To find the highest common factor of 3526,6517, we have to find the factors of both numbers and list the highest common factor.

The factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526

The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517

The HCF of 3526,6517 is 1.

Lets's calculate GCF of 3526,6517

Greatest Common Factor (GCF) of 3526,6517 By Common Division

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

Greatest Common Factor of 3526,6517 By Matching Biggest Common Factor Method

Now, list down the factors of 3526

1,2,41,43,82,86,1763,3526

Now, list down the factors of 6517

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 3526,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 3526,6517 is 1.

Lets's calculate LCM of 802,4546

Lowest Common Multiple of 802,4546 using Common Division

2	802, 4546
	401, 2273

∴ So the LCM of the given numbers is 2 x 401 x 2273 = 1822946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1822946

Therefore, the GCF of Fractions 3526/802,6517/4546 is 1/1822946

Least Common Multiple of 802,4546 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 802,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,4546) = 2

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

GCF(802,4546) x common factors =2 x 1 = 2

LCM(802,4546) = ( 802 × 4546 ) / 2

LCM(802,4546) = 3645892 / 2

LCM(802,4546) = 1822946

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FAQs on GCF of Fractions of 3526/802, 6517/4546

1. What is the HCF of 3526,6517?

The HCF of 3526,6517 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 3526/802, 6517/4546?

Answer: GCF of Numerators as per given numbers 3526/802, 6517/4546 is

GCF of Numerators i.e. for 3526,6517 is 1

LCM of denominators i.e. for 802,4546 is 1822946.

Thus, GCF of Fractions is 1/1822946.Finally, GCF of Fractions for 3526/802, 6517/4546 is 1/1822946.