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GCF of 551/58, 280/300

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 551/58, 280/300 i.e 1/8700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/58, 280/300.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 551/58,280/300?

Given fractions are 551/58,280/300

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 551/58,280/300, numerators are 551,280

Denominators are 58,300

The GCF of 551,280 is 1 .

LCM of 58,300 is 8700.

The greatest common factor of 551/58,280/300 = [GCF of 551,280]/[LCM of 58,300]= 1/8700

Therefore, the GCF of 551/58,280/300 is 1/8700.

Greatest Common Factor of 551,280

To find the highest common factor of 551,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 551 are 1, 19, 29, 551

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 551,280 is 1.

Lets's calculate GCF of 551,280

Greatest Common Factor (GCF) of 551,280 By Common Division

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

Greatest Common Factor of 551,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,280 By Matching Biggest Common Factor Method

Now, list down the factors of 551

:

1,19,29,551

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 551,280 . The biggest common factor number is the GCF number.
So the greatest common factor 551,280 is 1.

Lets's calculate LCM of 58,300

Lowest Common Multiple of 58,300 using Common Division

2 58, 300
29, 150

∴ So the LCM of the given numbers is 2 x 29 x 150 = 8700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8700

Therefore, the GCF of Fractions 551/58,280/300 is 1/8700

Least Common Multiple of 58,300 with GCF Formula

Least Common Multiple of 58,300 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,300) = 2

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

GCF(58,300) x common factors =2 x 1 = 2

LCM(58,300) = ( 58 × 300 ) / 2

LCM(58,300) = 17400 / 2

LCM(58,300) = 8700


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FAQs on GCF of Fractions of 551/58, 280/300

1. What is the HCF of 551,280?

The HCF of 551,280 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 551/58, 280/300?

Answer: GCF of Numerators as per given numbers 551/58, 280/300 is

GCF of Numerators i.e. for 551,280 is 1

LCM of denominators i.e. for 58,300 is 8700.

Thus, GCF of Fractions is 1/8700.Finally, GCF of Fractions for 551/58, 280/300 is 1/8700.