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GCF of 807/25, 698/923

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 807/25, 698/923 i.e 1/23075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/25, 698/923.

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 807/25,698/923?

Given fractions are 807/25,698/923

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 807/25,698/923, numerators are 807,698

Denominators are 25,923

The GCF of 807,698 is 1 .

LCM of 25,923 is 23075.

The greatest common factor of 807/25,698/923 = [GCF of 807,698]/[LCM of 25,923]= 1/23075

Therefore, the GCF of 807/25,698/923 is 1/23075.

Greatest Common Factor of 807,698

To find the highest common factor of 807,698, we have to find the factors of both numbers and list the highest common factor.

The factors of 807 are 1, 3, 269, 807

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

The HCF of 807,698 is 1.

Lets's calculate GCF of 807,698

Greatest Common Factor (GCF) of 807,698 By Common Division

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

Greatest Common Factor of 807,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,698 By Matching Biggest Common Factor Method

Now, list down the factors of 807

:

1,3,269,807

Now, list down the factors of 698

:

1,2,349,698

Greatest Common Factor

We found the factors 807,698 . The biggest common factor number is the GCF number.
So the greatest common factor 807,698 is 1.

Lets's calculate LCM of 25,923

Lowest Common Multiple of 25,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23075

Therefore, the GCF of Fractions 807/25,698/923 is 1/23075

Least Common Multiple of 25,923 with GCF Formula

Least Common Multiple of 25,923 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 25,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,923) = 1

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

GCF(25,923) x common factors =1 x 1 = 1

LCM(25,923) = ( 25 × 923 ) / 1

LCM(25,923) = 23075 / 1

LCM(25,923) = 23075


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FAQs on GCF of Fractions of 807/25, 698/923

1. What is the HCF of 807,698?

The HCF of 807,698 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 807/25, 698/923?

Answer: GCF of Numerators as per given numbers 807/25, 698/923 is

GCF of Numerators i.e. for 807,698 is 1

LCM of denominators i.e. for 25,923 is 23075.

Thus, GCF of Fractions is 1/23075.Finally, GCF of Fractions for 807/25, 698/923 is 1/23075.