How to Find GCF of 1748/718, 4019/3416?

GCF of 1748/718, 4019/3416

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 1748/718, 4019/3416 i.e 1/1226344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1748/718, 4019/3416.

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 1748/718,4019/3416?

Given fractions are 1748/718,4019/3416

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 1748/718,4019/3416, numerators are 1748,4019

Denominators are 718,3416

The GCF of 1748,4019 is 1 .

LCM of 718,3416 is 1226344.

The greatest common factor of 1748/718,4019/3416 = [GCF of 1748,4019]/[LCM of 718,3416]= 1/1226344

Therefore, the GCF of 1748/718,4019/3416 is 1/1226344.

Greatest Common Factor of 1748,4019

To find the highest common factor of 1748,4019, we have to find the factors of both numbers and list the highest common factor.

The factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748

The factors of 4019 are 1, 4019

The HCF of 1748,4019 is 1.

Lets's calculate GCF of 1748,4019

Greatest Common Factor (GCF) of 1748,4019 By Common Division

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

Greatest Common Factor of 1748,4019 By Matching Biggest Common Factor Method

Now, list down the factors of 1748

1,2,4,19,23,38,46,76,92,437,874,1748

Now, list down the factors of 4019

1,4019

Greatest Common Factor

We found the factors 1748,4019 . The biggest common factor number is the GCF number.
So the greatest common factor 1748,4019 is 1.

Lets's calculate LCM of 718,3416

Lowest Common Multiple of 718,3416 using Common Division

2	718, 3416
	359, 1708

∴ So the LCM of the given numbers is 2 x 359 x 1708 = 1226344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1226344

Therefore, the GCF of Fractions 1748/718,4019/3416 is 1/1226344

Least Common Multiple of 718,3416 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 718,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,3416) = 2

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

GCF(718,3416) x common factors =2 x 1 = 2

LCM(718,3416) = ( 718 × 3416 ) / 2

LCM(718,3416) = 2452688 / 2

LCM(718,3416) = 1226344

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1748/718, 4019/3416

1. What is the HCF of 1748,4019?

The HCF of 1748,4019 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 1748/718, 4019/3416?

Answer: GCF of Numerators as per given numbers 1748/718, 4019/3416 is

GCF of Numerators i.e. for 1748,4019 is 1

LCM of denominators i.e. for 718,3416 is 1226344.

Thus, GCF of Fractions is 1/1226344.Finally, GCF of Fractions for 1748/718, 4019/3416 is 1/1226344.