How to Find GCF of 3043/688, 5078/5471?

GCF of 3043/688, 5078/5471

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 3043/688, 5078/5471 i.e 1/3764048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3043/688, 5078/5471.

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 3043/688,5078/5471?

Given fractions are 3043/688,5078/5471

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 3043/688,5078/5471, numerators are 3043,5078

Denominators are 688,5471

The GCF of 3043,5078 is 1 .

LCM of 688,5471 is 3764048.

The greatest common factor of 3043/688,5078/5471 = [GCF of 3043,5078]/[LCM of 688,5471]= 1/3764048

Therefore, the GCF of 3043/688,5078/5471 is 1/3764048.

Greatest Common Factor of 3043,5078

To find the highest common factor of 3043,5078, we have to find the factors of both numbers and list the highest common factor.

The factors of 3043 are 1, 17, 179, 3043

The factors of 5078 are 1, 2, 2539, 5078

The HCF of 3043,5078 is 1.

Lets's calculate GCF of 3043,5078

Greatest Common Factor (GCF) of 3043,5078 By Common Division

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

Greatest Common Factor of 3043,5078 By Matching Biggest Common Factor Method

Now, list down the factors of 3043

1,17,179,3043

Now, list down the factors of 5078

1,2,2539,5078

Greatest Common Factor

We found the factors 3043,5078 . The biggest common factor number is the GCF number.
So the greatest common factor 3043,5078 is 1.

Lets's calculate LCM of 688,5471

Lowest Common Multiple of 688,5471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3764048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3764048

Therefore, the GCF of Fractions 3043/688,5078/5471 is 1/3764048

Least Common Multiple of 688,5471 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 688,5471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,5471) = 1

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

GCF(688,5471) x common factors =1 x 1 = 1

LCM(688,5471) = ( 688 × 5471 ) / 1

LCM(688,5471) = 3764048 / 1

LCM(688,5471) = 3764048

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FAQs on GCF of Fractions of 3043/688, 5078/5471

1. What is the HCF of 3043,5078?

The HCF of 3043,5078 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 3043/688, 5078/5471?

Answer: GCF of Numerators as per given numbers 3043/688, 5078/5471 is

GCF of Numerators i.e. for 3043,5078 is 1

LCM of denominators i.e. for 688,5471 is 3764048.

Thus, GCF of Fractions is 1/3764048.Finally, GCF of Fractions for 3043/688, 5078/5471 is 1/3764048.