How to Find GCF of 224/250, 1572/716?

GCF of 224/250, 1572/716

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 224/250, 1572/716 i.e 4/89500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/250, 1572/716.

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 224/250,1572/716?

Given fractions are 224/250,1572/716

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 224/250,1572/716, numerators are 224,1572

Denominators are 250,716

The GCF of 224,1572 is 4 .

LCM of 250,716 is 89500.

The greatest common factor of 224/250,1572/716 = [GCF of 224,1572]/[LCM of 250,716]= 4/89500

Therefore, the GCF of 224/250,1572/716 is 4/89500.

Greatest Common Factor of 224,1572

To find the highest common factor of 224,1572, we have to find the factors of both numbers and list the highest common factor.

The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572

The HCF of 224,1572 is 4.

Lets's calculate GCF of 224,1572

Greatest Common Factor (GCF) of 224,1572 By Common Division

2	224, 1572
2	112, 786
	56, 393

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 224,1572 By Matching Biggest Common Factor Method

Now, list down the factors of 224

1,2,4,7,8,14,16,28,32,56,112,224

Now, list down the factors of 1572

1,2,3,4,6,12,131,262,393,524,786,1572

Greatest Common Factor

We found the factors 224,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 224,1572 is 4.

Lets's calculate LCM of 250,716

Lowest Common Multiple of 250,716 using Common Division

2	250, 716
	125, 358

∴ So the LCM of the given numbers is 2 x 125 x 358 = 89500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/89500

Therefore, the GCF of Fractions 224/250,1572/716 is 4/89500

Least Common Multiple of 250,716 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 250,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,716) = 2

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

GCF(250,716) x common factors =2 x 1 = 2

LCM(250,716) = ( 250 × 716 ) / 2

LCM(250,716) = 179000 / 2

LCM(250,716) = 89500

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FAQs on GCF of Fractions of 224/250, 1572/716

1. What is the HCF of 224,1572?

The HCF of 224,1572 is 4

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 224/250, 1572/716?

Answer: GCF of Numerators as per given numbers 224/250, 1572/716 is

GCF of Numerators i.e. for 224,1572 is 4

LCM of denominators i.e. for 250,716 is 89500.

Thus, GCF of Fractions is 4/89500.Finally, GCF of Fractions for 224/250, 1572/716 is 4/89500.