How to Find GCF of 3516/376, 1483/3028?

GCF of 3516/376, 1483/3028

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 3516/376, 1483/3028 i.e 1/284632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3516/376, 1483/3028.

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 3516/376,1483/3028?

Given fractions are 3516/376,1483/3028

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 3516/376,1483/3028, numerators are 3516,1483

Denominators are 376,3028

The GCF of 3516,1483 is 1 .

LCM of 376,3028 is 284632.

The greatest common factor of 3516/376,1483/3028 = [GCF of 3516,1483]/[LCM of 376,3028]= 1/284632

Therefore, the GCF of 3516/376,1483/3028 is 1/284632.

Greatest Common Factor of 3516,1483

To find the highest common factor of 3516,1483, we have to find the factors of both numbers and list the highest common factor.

The factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516

The factors of 1483 are 1, 1483

The HCF of 3516,1483 is 1.

Lets's calculate GCF of 3516,1483

Greatest Common Factor (GCF) of 3516,1483 By Common Division

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

Greatest Common Factor of 3516,1483 By Matching Biggest Common Factor Method

Now, list down the factors of 3516

1,2,3,4,6,12,293,586,879,1172,1758,3516

Now, list down the factors of 1483

1,1483

Greatest Common Factor

We found the factors 3516,1483 . The biggest common factor number is the GCF number.
So the greatest common factor 3516,1483 is 1.

Lets's calculate LCM of 376,3028

Lowest Common Multiple of 376,3028 using Common Division

2	376, 3028
2	188, 1514
	94, 757

∴ So the LCM of the given numbers is 2 x 2 x 94 x 757 = 284632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284632

Therefore, the GCF of Fractions 3516/376,1483/3028 is 1/284632

Least Common Multiple of 376,3028 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 376,3028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,3028) = 4

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

GCF(376,3028) x common factors =4 x 1 = 4

LCM(376,3028) = ( 376 × 3028 ) / 4

LCM(376,3028) = 1138528 / 4

LCM(376,3028) = 284632

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FAQs on GCF of Fractions of 3516/376, 1483/3028

1. What is the HCF of 3516,1483?

The HCF of 3516,1483 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 3516/376, 1483/3028?

Answer: GCF of Numerators as per given numbers 3516/376, 1483/3028 is

GCF of Numerators i.e. for 3516,1483 is 1

LCM of denominators i.e. for 376,3028 is 284632.

Thus, GCF of Fractions is 1/284632.Finally, GCF of Fractions for 3516/376, 1483/3028 is 1/284632.