How to Find GCF of 5883/880, 6281/628?

GCF of 5883/880, 6281/628

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 5883/880, 6281/628 i.e 1/138160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5883/880, 6281/628.

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 5883/880,6281/628?

Given fractions are 5883/880,6281/628

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 5883/880,6281/628, numerators are 5883,6281

Denominators are 880,628

The GCF of 5883,6281 is 1 .

LCM of 880,628 is 138160.

The greatest common factor of 5883/880,6281/628 = [GCF of 5883,6281]/[LCM of 880,628]= 1/138160

Therefore, the GCF of 5883/880,6281/628 is 1/138160.

Greatest Common Factor of 5883,6281

To find the highest common factor of 5883,6281, we have to find the factors of both numbers and list the highest common factor.

The factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883

The factors of 6281 are 1, 11, 571, 6281

The HCF of 5883,6281 is 1.

Lets's calculate GCF of 5883,6281

Greatest Common Factor (GCF) of 5883,6281 By Common Division

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

Greatest Common Factor of 5883,6281 By Matching Biggest Common Factor Method

Now, list down the factors of 5883

1,3,37,53,111,159,1961,5883

Now, list down the factors of 6281

1,11,571,6281

Greatest Common Factor

We found the factors 5883,6281 . The biggest common factor number is the GCF number.
So the greatest common factor 5883,6281 is 1.

Lets's calculate LCM of 880,628

Lowest Common Multiple of 880,628 using Common Division

2	880, 628
2	440, 314
	220, 157

∴ So the LCM of the given numbers is 2 x 2 x 220 x 157 = 138160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138160

Therefore, the GCF of Fractions 5883/880,6281/628 is 1/138160

Least Common Multiple of 880,628 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 880,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,628) = 4

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

GCF(880,628) x common factors =4 x 1 = 4

LCM(880,628) = ( 880 × 628 ) / 4

LCM(880,628) = 552640 / 4

LCM(880,628) = 138160

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FAQs on GCF of Fractions of 5883/880, 6281/628

1. What is the HCF of 5883,6281?

The HCF of 5883,6281 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 5883/880, 6281/628?

Answer: GCF of Numerators as per given numbers 5883/880, 6281/628 is

GCF of Numerators i.e. for 5883,6281 is 1

LCM of denominators i.e. for 880,628 is 138160.

Thus, GCF of Fractions is 1/138160.Finally, GCF of Fractions for 5883/880, 6281/628 is 1/138160.