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GCF of 225/262, 698/758

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 225/262, 698/758 i.e 1/99298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 225/262, 698/758.

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 225/262,698/758?

Given fractions are 225/262,698/758

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 225/262,698/758, numerators are 225,698

Denominators are 262,758

The GCF of 225,698 is 1 .

LCM of 262,758 is 99298.

The greatest common factor of 225/262,698/758 = [GCF of 225,698]/[LCM of 262,758]= 1/99298

Therefore, the GCF of 225/262,698/758 is 1/99298.

Greatest Common Factor of 225,698

To find the highest common factor of 225,698, we have to find the factors of both numbers and list the highest common factor.

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The factors of 698 are 1, 2, 349, 698

The HCF of 225,698 is 1.

Lets's calculate GCF of 225,698

Greatest Common Factor (GCF) of 225,698 By Common Division

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

Greatest Common Factor of 225,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,698 By Matching Biggest Common Factor Method

Now, list down the factors of 225

:

1,3,5,9,15,25,45,75,225

Now, list down the factors of 698

:

1,2,349,698

Greatest Common Factor

We found the factors 225,698 . The biggest common factor number is the GCF number.
So the greatest common factor 225,698 is 1.

Lets's calculate LCM of 262,758

Lowest Common Multiple of 262,758 using Common Division

2 262, 758
131, 379

∴ So the LCM of the given numbers is 2 x 131 x 379 = 99298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99298

Therefore, the GCF of Fractions 225/262,698/758 is 1/99298

Least Common Multiple of 262,758 with GCF Formula

Least Common Multiple of 262,758 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 262,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,758) = 2

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

GCF(262,758) x common factors =2 x 1 = 2

LCM(262,758) = ( 262 × 758 ) / 2

LCM(262,758) = 198596 / 2

LCM(262,758) = 99298


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FAQs on GCF of Fractions of 225/262, 698/758

1. What is the HCF of 225,698?

The HCF of 225,698 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 225/262, 698/758?

Answer: GCF of Numerators as per given numbers 225/262, 698/758 is

GCF of Numerators i.e. for 225,698 is 1

LCM of denominators i.e. for 262,758 is 99298.

Thus, GCF of Fractions is 1/99298.Finally, GCF of Fractions for 225/262, 698/758 is 1/99298.