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GCF of 511/25, 208/153

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 511/25, 208/153 i.e 1/3825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/25, 208/153.

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 511/25,208/153?

Given fractions are 511/25,208/153

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 511/25,208/153, numerators are 511,208

Denominators are 25,153

The GCF of 511,208 is 1 .

LCM of 25,153 is 3825.

The greatest common factor of 511/25,208/153 = [GCF of 511,208]/[LCM of 25,153]= 1/3825

Therefore, the GCF of 511/25,208/153 is 1/3825.

Greatest Common Factor of 511,208

To find the highest common factor of 511,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 511 are 1, 7, 73, 511

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 511,208 is 1.

Lets's calculate GCF of 511,208

Greatest Common Factor (GCF) of 511,208 By Common Division

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

Greatest Common Factor of 511,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,208 By Matching Biggest Common Factor Method

Now, list down the factors of 511

:

1,7,73,511

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 511,208 . The biggest common factor number is the GCF number.
So the greatest common factor 511,208 is 1.

Lets's calculate LCM of 25,153

Lowest Common Multiple of 25,153 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3825

Therefore, the GCF of Fractions 511/25,208/153 is 1/3825

Least Common Multiple of 25,153 with GCF Formula

Least Common Multiple of 25,153 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 25,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,153) = 1

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

GCF(25,153) x common factors =1 x 1 = 1

LCM(25,153) = ( 25 × 153 ) / 1

LCM(25,153) = 3825 / 1

LCM(25,153) = 3825


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FAQs on GCF of Fractions of 511/25, 208/153

1. What is the HCF of 511,208?

The HCF of 511,208 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 511/25, 208/153?

Answer: GCF of Numerators as per given numbers 511/25, 208/153 is

GCF of Numerators i.e. for 511,208 is 1

LCM of denominators i.e. for 25,153 is 3825.

Thus, GCF of Fractions is 1/3825.Finally, GCF of Fractions for 511/25, 208/153 is 1/3825.