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GCF of 1151/623, 8653/250

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 1151/623, 8653/250 i.e 1/155750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/623, 8653/250.

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 1151/623,8653/250?

Given fractions are 1151/623,8653/250

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 1151/623,8653/250, numerators are 1151,8653

Denominators are 623,250

The GCF of 1151,8653 is 1 .

LCM of 623,250 is 155750.

The greatest common factor of 1151/623,8653/250 = [GCF of 1151,8653]/[LCM of 623,250]= 1/155750

Therefore, the GCF of 1151/623,8653/250 is 1/155750.

Greatest Common Factor of 1151,8653

To find the highest common factor of 1151,8653, we have to find the factors of both numbers and list the highest common factor.

The factors of 1151 are 1, 1151

The factors of 8653 are 1, 17, 509, 8653

The HCF of 1151,8653 is 1.

Lets's calculate GCF of 1151,8653

Greatest Common Factor (GCF) of 1151,8653 By Common Division

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

Greatest Common Factor of 1151,8653 By Matching Biggest Common Factor Method

Greatest Common Factor of 1151,8653 By Matching Biggest Common Factor Method

Now, list down the factors of 1151

:

1,1151

Now, list down the factors of 8653

:

1,17,509,8653

Greatest Common Factor

We found the factors 1151,8653 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,8653 is 1.

Lets's calculate LCM of 623,250

Lowest Common Multiple of 623,250 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155750

Therefore, the GCF of Fractions 1151/623,8653/250 is 1/155750

Least Common Multiple of 623,250 with GCF Formula

Least Common Multiple of 623,250 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 623,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,250) = 1

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

GCF(623,250) x common factors =1 x 1 = 1

LCM(623,250) = ( 623 × 250 ) / 1

LCM(623,250) = 155750 / 1

LCM(623,250) = 155750


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FAQs on GCF of Fractions of 1151/623, 8653/250

1. What is the HCF of 1151,8653?

The HCF of 1151,8653 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 1151/623, 8653/250?

Answer: GCF of Numerators as per given numbers 1151/623, 8653/250 is

GCF of Numerators i.e. for 1151,8653 is 1

LCM of denominators i.e. for 623,250 is 155750.

Thus, GCF of Fractions is 1/155750.Finally, GCF of Fractions for 1151/623, 8653/250 is 1/155750.