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GCF of 690/235, 751/266

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 690/235, 751/266 i.e 1/62510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 690/235, 751/266.

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 690/235,751/266?

Given fractions are 690/235,751/266

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 690/235,751/266, numerators are 690,751

Denominators are 235,266

The GCF of 690,751 is 1 .

LCM of 235,266 is 62510.

The greatest common factor of 690/235,751/266 = [GCF of 690,751]/[LCM of 235,266]= 1/62510

Therefore, the GCF of 690/235,751/266 is 1/62510.

Greatest Common Factor of 690,751

To find the highest common factor of 690,751, we have to find the factors of both numbers and list the highest common factor.

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The factors of 751 are 1, 751

The HCF of 690,751 is 1.

Lets's calculate GCF of 690,751

Greatest Common Factor (GCF) of 690,751 By Common Division

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

Greatest Common Factor of 690,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,751 By Matching Biggest Common Factor Method

Now, list down the factors of 690

:

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Now, list down the factors of 751

:

1,751

Greatest Common Factor

We found the factors 690,751 . The biggest common factor number is the GCF number.
So the greatest common factor 690,751 is 1.

Lets's calculate LCM of 235,266

Lowest Common Multiple of 235,266 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62510

Therefore, the GCF of Fractions 690/235,751/266 is 1/62510

Least Common Multiple of 235,266 with GCF Formula

Least Common Multiple of 235,266 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 235,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,266) = 1

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

GCF(235,266) x common factors =1 x 1 = 1

LCM(235,266) = ( 235 × 266 ) / 1

LCM(235,266) = 62510 / 1

LCM(235,266) = 62510


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FAQs on GCF of Fractions of 690/235, 751/266

1. What is the HCF of 690,751?

The HCF of 690,751 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 690/235, 751/266?

Answer: GCF of Numerators as per given numbers 690/235, 751/266 is

GCF of Numerators i.e. for 690,751 is 1

LCM of denominators i.e. for 235,266 is 62510.

Thus, GCF of Fractions is 1/62510.Finally, GCF of Fractions for 690/235, 751/266 is 1/62510.