How to Find GCF of 860/65, 770/9801?

GCF of 860/65, 770/9801

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 860/65, 770/9801 i.e 10/637065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/65, 770/9801.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 860/65,770/9801?

Given fractions are 860/65,770/9801

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 860/65,770/9801, numerators are 860,770

Denominators are 65,9801

The GCF of 860,770 is 10 .

LCM of 65,9801 is 637065.

The greatest common factor of 860/65,770/9801 = [GCF of 860,770]/[LCM of 65,9801]= 10/637065

Therefore, the GCF of 860/65,770/9801 is 10/637065.

Greatest Common Factor of 860,770

To find the highest common factor of 860,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

The HCF of 860,770 is 10.

Lets's calculate GCF of 860,770

Greatest Common Factor (GCF) of 860,770 By Common Division

2	860, 770
5	430, 385
	86, 77

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 860,770 By Matching Biggest Common Factor Method

Now, list down the factors of 860

1,2,4,5,10,20,43,86,172,215,430,860

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 860,770 . The biggest common factor number is the GCF number.
So the greatest common factor 860,770 is 10.

Lets's calculate LCM of 65,9801

Lowest Common Multiple of 65,9801 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 637065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/637065

Therefore, the GCF of Fractions 860/65,770/9801 is 10/637065

Least Common Multiple of 65,9801 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,9801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,9801) = 1

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

GCF(65,9801) x common factors =1 x 1 = 1

LCM(65,9801) = ( 65 × 9801 ) / 1

LCM(65,9801) = 637065 / 1

LCM(65,9801) = 637065

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FAQs on GCF of Fractions of 860/65, 770/9801

1. What is the HCF of 860,770?

The HCF of 860,770 is 10

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 860/65, 770/9801?

Answer: GCF of Numerators as per given numbers 860/65, 770/9801 is

GCF of Numerators i.e. for 860,770 is 10

LCM of denominators i.e. for 65,9801 is 637065.

Thus, GCF of Fractions is 10/637065.Finally, GCF of Fractions for 860/65, 770/9801 is 10/637065.