How to Find GCF of 46/596, 47/938, 526/109?

GCF of 46/596, 47/938, 526/109

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 46/596, 47/938, 526/109 i.e 1/30468116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/596, 47/938, 526/109.

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 46/596,47/938,526/109?

Given fractions are 46/596,47/938,526/109

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 46/596,47/938,526/109, numerators are 46,47,526

Denominators are 596,938,109

The GCF of 46,47,526 is 1 .

LCM of 596,938,109 is 30468116.

The greatest common factor of 46/596,47/938,526/109 = [GCF of 46,47,526]/[LCM of 596,938,109]= 1/30468116

Therefore, the GCF of 46/596,47/938,526/109 is 1/30468116.

Greatest Common Factor of 46,47,526

To find the highest common factor of 46,47,526, we have to find the factors of both numbers and list the highest common factor.

The factors of 46 are 1, 2, 23, 46

The factors of 47 are 1, 47

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

The HCF of 46,47,526 is 1.

Lets's calculate GCF of 46,47,526

Greatest Common Factor (GCF) of 46,47,526 By Common Division

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

Greatest Common Factor of 46,47,526 By Matching Biggest Common Factor Method

Now, list down the factors of 46

1,2,23,46

Now, list down the factors of 47

1,47

Now, list down the factors of 526

1,2,263,526

Greatest Common Factor

We found the factors 46,47,526 . The biggest common factor number is the GCF number.
So the greatest common factor 46,47,526 is 1.

Lets's calculate LCM of 596,938,109

Lowest Common Multiple of 596,938,109 using Common Division

2	596, 938, 109
	298, 469, 109

∴ So the LCM of the given numbers is 2 x 298 x 469 x 109 = 30468116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30468116

Therefore, the GCF of Fractions 46/596,47/938,526/109 is 1/30468116

Least Common Multiple of 596,938,109 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 596,938,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,938,109) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(596,938,109) x common factors =1 x 2 = 2

LCM(596,938,109) = ( 596 × 938 × 109 ) / 2

LCM(596,938,109) = 60936232 / 2

LCM(596,938,109) = 30468116

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FAQs on GCF of Fractions of 46/596, 47/938, 526/109

1. What is the HCF of 46,47,526?

The HCF of 46,47,526 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 46/596, 47/938, 526/109?

Answer: GCF of Numerators as per given numbers 46/596, 47/938, 526/109 is

GCF of Numerators i.e. for 46,47,526 is 1

LCM of denominators i.e. for 596,938,109 is 30468116.

Thus, GCF of Fractions is 1/30468116.Finally, GCF of Fractions for 46/596, 47/938, 526/109 is 1/30468116.