How to Find GCF of 19/688, 19/749, 376/648?

GCF of 19/688, 19/749, 376/648

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 19/688, 19/749, 376/648 i.e 1/41740272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/688, 19/749, 376/648.

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 19/688,19/749,376/648?

Given fractions are 19/688,19/749,376/648

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 19/688,19/749,376/648, numerators are 19,19,376

Denominators are 688,749,648

The GCF of 19,19,376 is 1 .

LCM of 688,749,648 is 41740272.

The greatest common factor of 19/688,19/749,376/648 = [GCF of 19,19,376]/[LCM of 688,749,648]= 1/41740272

Therefore, the GCF of 19/688,19/749,376/648 is 1/41740272.

Greatest Common Factor of 19,19,376

To find the highest common factor of 19,19,376, we have to find the factors of both numbers and list the highest common factor.

The factors of 19 are 1, 19

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376

The HCF of 19,19,376 is 1.

Lets's calculate GCF of 19,19,376

Greatest Common Factor (GCF) of 19,19,376 By Common Division

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

Greatest Common Factor of 19,19,376 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 19

1,19

Now, list down the factors of 376

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 19,19,376 . The biggest common factor number is the GCF number.
So the greatest common factor 19,19,376 is 1.

Lets's calculate LCM of 688,749,648

Lowest Common Multiple of 688,749,648 using Common Division

2	688, 749, 648
2	344, 749, 324
2	172, 749, 162
	86, 749, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 749 x 81 = 41740272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41740272

Therefore, the GCF of Fractions 19/688,19/749,376/648 is 1/41740272

Least Common Multiple of 688,749,648 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 688,749,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,749,648) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(688,749,648) x common factors =1 x 8 = 8

LCM(688,749,648) = ( 688 × 749 × 648 ) / 8

LCM(688,749,648) = 333922176 / 8

LCM(688,749,648) = 41740272

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 19/688, 19/749, 376/648

1. What is the HCF of 19,19,376?

The HCF of 19,19,376 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 19/688, 19/749, 376/648?

Answer: GCF of Numerators as per given numbers 19/688, 19/749, 376/648 is

GCF of Numerators i.e. for 19,19,376 is 1

LCM of denominators i.e. for 688,749,648 is 41740272.

Thus, GCF of Fractions is 1/41740272.Finally, GCF of Fractions for 19/688, 19/749, 376/648 is 1/41740272.