How to Find GCF of 224/616, 6454/528?

GCF of 224/616, 6454/528

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 224/616, 6454/528 i.e 14/3696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/616, 6454/528.

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 224/616,6454/528?

Given fractions are 224/616,6454/528

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 224/616,6454/528, numerators are 224,6454

Denominators are 616,528

The GCF of 224,6454 is 14 .

LCM of 616,528 is 3696.

The greatest common factor of 224/616,6454/528 = [GCF of 224,6454]/[LCM of 616,528]= 14/3696

Therefore, the GCF of 224/616,6454/528 is 14/3696.

Greatest Common Factor of 224,6454

To find the highest common factor of 224,6454, 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 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454

The HCF of 224,6454 is 14.

Lets's calculate GCF of 224,6454

Greatest Common Factor (GCF) of 224,6454 By Common Division

2	224, 6454
7	112, 3227
	16, 461

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 224,6454 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 6454

1,2,7,14,461,922,3227,6454

Greatest Common Factor

We found the factors 224,6454 . The biggest common factor number is the GCF number.
So the greatest common factor 224,6454 is 14.

Lets's calculate LCM of 616,528

Lowest Common Multiple of 616,528 using Common Division

2	616, 528
2	308, 264
2	154, 132
11	77, 66
	7, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 6 = 3696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3696

Therefore, the GCF of Fractions 224/616,6454/528 is 14/3696

Least Common Multiple of 616,528 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 616,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,528) = 88

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

GCF(616,528) x common factors =88 x 1 = 88

LCM(616,528) = ( 616 × 528 ) / 88

LCM(616,528) = 325248 / 88

LCM(616,528) = 3696

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FAQs on GCF of Fractions of 224/616, 6454/528

1. What is the HCF of 224,6454?

The HCF of 224,6454 is 14

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 224/616, 6454/528?

Answer: GCF of Numerators as per given numbers 224/616, 6454/528 is

GCF of Numerators i.e. for 224,6454 is 14

LCM of denominators i.e. for 616,528 is 3696.

Thus, GCF of Fractions is 14/3696.Finally, GCF of Fractions for 224/616, 6454/528 is 14/3696.