How to Find GCF of 727/952, 900/628?

GCF of 727/952, 900/628

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 727/952, 900/628 i.e 1/149464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/952, 900/628.

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 727/952,900/628?

Given fractions are 727/952,900/628

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 727/952,900/628, numerators are 727,900

Denominators are 952,628

The GCF of 727,900 is 1 .

LCM of 952,628 is 149464.

The greatest common factor of 727/952,900/628 = [GCF of 727,900]/[LCM of 952,628]= 1/149464

Therefore, the GCF of 727/952,900/628 is 1/149464.

Greatest Common Factor of 727,900

To find the highest common factor of 727,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 727 are 1, 727

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 727,900 is 1.

Lets's calculate GCF of 727,900

Greatest Common Factor (GCF) of 727,900 By Common Division

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

Greatest Common Factor of 727,900 By Matching Biggest Common Factor Method

Now, list down the factors of 727

1,727

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 727,900 . The biggest common factor number is the GCF number.
So the greatest common factor 727,900 is 1.

Lets's calculate LCM of 952,628

Lowest Common Multiple of 952,628 using Common Division

2	952, 628
2	476, 314
	238, 157

∴ So the LCM of the given numbers is 2 x 2 x 238 x 157 = 149464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149464

Therefore, the GCF of Fractions 727/952,900/628 is 1/149464

Least Common Multiple of 952,628 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 952,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,628) = 4

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

GCF(952,628) x common factors =4 x 1 = 4

LCM(952,628) = ( 952 × 628 ) / 4

LCM(952,628) = 597856 / 4

LCM(952,628) = 149464

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FAQs on GCF of Fractions of 727/952, 900/628

1. What is the HCF of 727,900?

The HCF of 727,900 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 727/952, 900/628?

Answer: GCF of Numerators as per given numbers 727/952, 900/628 is

GCF of Numerators i.e. for 727,900 is 1

LCM of denominators i.e. for 952,628 is 149464.

Thus, GCF of Fractions is 1/149464.Finally, GCF of Fractions for 727/952, 900/628 is 1/149464.