How to Find GCF of 1483/812, 2068/7472?

GCF of 1483/812, 2068/7472

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 1483/812, 2068/7472 i.e 1/1516816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1483/812, 2068/7472.

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 1483/812,2068/7472?

Given fractions are 1483/812,2068/7472

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 1483/812,2068/7472, numerators are 1483,2068

Denominators are 812,7472

The GCF of 1483,2068 is 1 .

LCM of 812,7472 is 1516816.

The greatest common factor of 1483/812,2068/7472 = [GCF of 1483,2068]/[LCM of 812,7472]= 1/1516816

Therefore, the GCF of 1483/812,2068/7472 is 1/1516816.

Greatest Common Factor of 1483,2068

To find the highest common factor of 1483,2068, we have to find the factors of both numbers and list the highest common factor.

The factors of 1483 are 1, 1483

The factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

The HCF of 1483,2068 is 1.

Lets's calculate GCF of 1483,2068

Greatest Common Factor (GCF) of 1483,2068 By Common Division

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

Greatest Common Factor of 1483,2068 By Matching Biggest Common Factor Method

Now, list down the factors of 1483

1,1483

Now, list down the factors of 2068

1,2,4,11,22,44,47,94,188,517,1034,2068

Greatest Common Factor

We found the factors 1483,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,2068 is 1.

Lets's calculate LCM of 812,7472

Lowest Common Multiple of 812,7472 using Common Division

2	812, 7472
2	406, 3736
	203, 1868

∴ So the LCM of the given numbers is 2 x 2 x 203 x 1868 = 1516816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1516816

Therefore, the GCF of Fractions 1483/812,2068/7472 is 1/1516816

Least Common Multiple of 812,7472 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 812,7472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,7472) = 4

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

GCF(812,7472) x common factors =4 x 1 = 4

LCM(812,7472) = ( 812 × 7472 ) / 4

LCM(812,7472) = 6067264 / 4

LCM(812,7472) = 1516816

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FAQs on GCF of Fractions of 1483/812, 2068/7472

1. What is the HCF of 1483,2068?

The HCF of 1483,2068 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 1483/812, 2068/7472?

Answer: GCF of Numerators as per given numbers 1483/812, 2068/7472 is

GCF of Numerators i.e. for 1483,2068 is 1

LCM of denominators i.e. for 812,7472 is 1516816.

Thus, GCF of Fractions is 1/1516816.Finally, GCF of Fractions for 1483/812, 2068/7472 is 1/1516816.