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GCF of 526/45, 726/284

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 526/45, 726/284 i.e 2/12780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/45, 726/284.

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 526/45,726/284?

Given fractions are 526/45,726/284

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 526/45,726/284, numerators are 526,726

Denominators are 45,284

The GCF of 526,726 is 2 .

LCM of 45,284 is 12780.

The greatest common factor of 526/45,726/284 = [GCF of 526,726]/[LCM of 45,284]= 2/12780

Therefore, the GCF of 526/45,726/284 is 2/12780.

Greatest Common Factor of 526,726

To find the highest common factor of 526,726, we have to find the factors of both numbers and list the highest common factor.

The factors of 526 are 1, 2, 263, 526

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The HCF of 526,726 is 2.

Lets's calculate GCF of 526,726

Greatest Common Factor (GCF) of 526,726 By Common Division

2 526, 726
263, 363

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 526,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,726 By Matching Biggest Common Factor Method

Now, list down the factors of 526

:

1,2,263,526

Now, list down the factors of 726

:

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 526,726 . The biggest common factor number is the GCF number.
So the greatest common factor 526,726 is 2.

Lets's calculate LCM of 45,284

Lowest Common Multiple of 45,284 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12780

Therefore, the GCF of Fractions 526/45,726/284 is 2/12780

Least Common Multiple of 45,284 with GCF Formula

Least Common Multiple of 45,284 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 45,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,284) = 1

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

GCF(45,284) x common factors =1 x 1 = 1

LCM(45,284) = ( 45 × 284 ) / 1

LCM(45,284) = 12780 / 1

LCM(45,284) = 12780


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FAQs on GCF of Fractions of 526/45, 726/284

1. What is the HCF of 526,726?

The HCF of 526,726 is 2

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 526/45, 726/284?

Answer: GCF of Numerators as per given numbers 526/45, 726/284 is

GCF of Numerators i.e. for 526,726 is 2

LCM of denominators i.e. for 45,284 is 12780.

Thus, GCF of Fractions is 2/12780.Finally, GCF of Fractions for 526/45, 726/284 is 2/12780.