How to Find GCF of 72/680, 48/924, 619/572?

GCF of 72/680, 48/924, 619/572

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 72/680, 48/924, 619/572 i.e 1/2042040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/680, 48/924, 619/572.

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 72/680,48/924,619/572?

Given fractions are 72/680,48/924,619/572

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 72/680,48/924,619/572, numerators are 72,48,619

Denominators are 680,924,572

The GCF of 72,48,619 is 1 .

LCM of 680,924,572 is 2042040.

The greatest common factor of 72/680,48/924,619/572 = [GCF of 72,48,619]/[LCM of 680,924,572]= 1/2042040

Therefore, the GCF of 72/680,48/924,619/572 is 1/2042040.

Greatest Common Factor of 72,48,619

To find the highest common factor of 72,48,619, we have to find the factors of both numbers and list the highest common factor.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 619 are 1, 619

The HCF of 72,48,619 is 1.

Lets's calculate GCF of 72,48,619

Greatest Common Factor (GCF) of 72,48,619 By Common Division

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

Greatest Common Factor of 72,48,619 By Matching Biggest Common Factor Method

Now, list down the factors of 72

1,2,3,4,6,8,9,12,18,24,36,72

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 619

1,619

Greatest Common Factor

We found the factors 72,48,619 . The biggest common factor number is the GCF number.
So the greatest common factor 72,48,619 is 1.

Lets's calculate LCM of 680,924,572

Lowest Common Multiple of 680,924,572 using Common Division

2	680, 924, 572
2	340, 462, 286
11	170, 231, 143
	170, 21, 13

∴ So the LCM of the given numbers is 2 x 2 x 11 x 170 x 21 x 13 = 2042040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042040

Therefore, the GCF of Fractions 72/680,48/924,619/572 is 1/2042040

Least Common Multiple of 680,924,572 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 680,924,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,924,572) = 4

common factors(in case of two or more numbers have common factors) = 44

GCF(680,924,572) x common factors =4 x 44 = 176

LCM(680,924,572) = ( 680 × 924 × 572 ) / 176

LCM(680,924,572) = 359399040 / 176

LCM(680,924,572) = 2042040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 72/680, 48/924, 619/572

1. What is the HCF of 72,48,619?

The HCF of 72,48,619 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 72/680, 48/924, 619/572?

Answer: GCF of Numerators as per given numbers 72/680, 48/924, 619/572 is

GCF of Numerators i.e. for 72,48,619 is 1

LCM of denominators i.e. for 680,924,572 is 2042040.

Thus, GCF of Fractions is 1/2042040.Finally, GCF of Fractions for 72/680, 48/924, 619/572 is 1/2042040.