How to Find GCF of 2243/616, 7048/648?

GCF of 2243/616, 7048/648

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 2243/616, 7048/648 i.e 1/49896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2243/616, 7048/648.

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 2243/616,7048/648?

Given fractions are 2243/616,7048/648

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 2243/616,7048/648, numerators are 2243,7048

Denominators are 616,648

The GCF of 2243,7048 is 1 .

LCM of 616,648 is 49896.

The greatest common factor of 2243/616,7048/648 = [GCF of 2243,7048]/[LCM of 616,648]= 1/49896

Therefore, the GCF of 2243/616,7048/648 is 1/49896.

Greatest Common Factor of 2243,7048

To find the highest common factor of 2243,7048, we have to find the factors of both numbers and list the highest common factor.

The factors of 2243 are 1, 2243

The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048

The HCF of 2243,7048 is 1.

Lets's calculate GCF of 2243,7048

Greatest Common Factor (GCF) of 2243,7048 By Common Division

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

Greatest Common Factor of 2243,7048 By Matching Biggest Common Factor Method

Now, list down the factors of 2243

1,2243

Now, list down the factors of 7048

1,2,4,8,881,1762,3524,7048

Greatest Common Factor

We found the factors 2243,7048 . The biggest common factor number is the GCF number.
So the greatest common factor 2243,7048 is 1.

Lets's calculate LCM of 616,648

Lowest Common Multiple of 616,648 using Common Division

2	616, 648
2	308, 324
2	154, 162
	77, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 81 = 49896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49896

Therefore, the GCF of Fractions 2243/616,7048/648 is 1/49896

Least Common Multiple of 616,648 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 616,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,648) = 8

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

GCF(616,648) x common factors =8 x 1 = 8

LCM(616,648) = ( 616 × 648 ) / 8

LCM(616,648) = 399168 / 8

LCM(616,648) = 49896

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FAQs on GCF of Fractions of 2243/616, 7048/648

1. What is the HCF of 2243,7048?

The HCF of 2243,7048 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 2243/616, 7048/648?

Answer: GCF of Numerators as per given numbers 2243/616, 7048/648 is

GCF of Numerators i.e. for 2243,7048 is 1

LCM of denominators i.e. for 616,648 is 49896.

Thus, GCF of Fractions is 1/49896.Finally, GCF of Fractions for 2243/616, 7048/648 is 1/49896.