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GCF of 206/88, 770/631

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 206/88, 770/631 i.e 2/55528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/88, 770/631.

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 206/88,770/631?

Given fractions are 206/88,770/631

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 206/88,770/631, numerators are 206,770

Denominators are 88,631

The GCF of 206,770 is 2 .

LCM of 88,631 is 55528.

The greatest common factor of 206/88,770/631 = [GCF of 206,770]/[LCM of 88,631]= 2/55528

Therefore, the GCF of 206/88,770/631 is 2/55528.

Greatest Common Factor of 206,770

To find the highest common factor of 206,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 206 are 1, 2, 103, 206

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 206,770 is 2.

Lets's calculate GCF of 206,770

Greatest Common Factor (GCF) of 206,770 By Common Division

2 206, 770
103, 385

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,770 By Matching Biggest Common Factor Method

Now, list down the factors of 206

:

1,2,103,206

Now, list down the factors of 770

:

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 206,770 . The biggest common factor number is the GCF number.
So the greatest common factor 206,770 is 2.

Lets's calculate LCM of 88,631

Lowest Common Multiple of 88,631 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55528

Therefore, the GCF of Fractions 206/88,770/631 is 2/55528

Least Common Multiple of 88,631 with GCF Formula

Least Common Multiple of 88,631 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 88,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,631) = 1

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

GCF(88,631) x common factors =1 x 1 = 1

LCM(88,631) = ( 88 × 631 ) / 1

LCM(88,631) = 55528 / 1

LCM(88,631) = 55528


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FAQs on GCF of Fractions of 206/88, 770/631

1. What is the HCF of 206,770?

The HCF of 206,770 is 2

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 206/88, 770/631?

Answer: GCF of Numerators as per given numbers 206/88, 770/631 is

GCF of Numerators i.e. for 206,770 is 2

LCM of denominators i.e. for 88,631 is 55528.

Thus, GCF of Fractions is 2/55528.Finally, GCF of Fractions for 206/88, 770/631 is 2/55528.