How to Find GCF of 77/622, 77/990, 275/973?

GCF of 77/622, 77/990, 275/973

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 77/622, 77/990, 275/973 i.e 11/299576970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/622, 77/990, 275/973.

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 77/622,77/990,275/973?

Given fractions are 77/622,77/990,275/973

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 77/622,77/990,275/973, numerators are 77,77,275

Denominators are 622,990,973

The GCF of 77,77,275 is 11 .

LCM of 622,990,973 is 299576970.

The greatest common factor of 77/622,77/990,275/973 = [GCF of 77,77,275]/[LCM of 622,990,973]= 11/299576970

Therefore, the GCF of 77/622,77/990,275/973 is 11/299576970.

Greatest Common Factor of 77,77,275

To find the highest common factor of 77,77,275, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 275 are 1, 5, 11, 25, 55, 275

The HCF of 77,77,275 is 11.

Lets's calculate GCF of 77,77,275

Greatest Common Factor (GCF) of 77,77,275 By Common Division

11	77, 77, 275
	7, 7, 25

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 77,77,275 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 275

1,5,11,25,55,275

Greatest Common Factor

We found the factors 77,77,275 . The biggest common factor number is the GCF number.
So the greatest common factor 77,77,275 is 11.

Lets's calculate LCM of 622,990,973

Lowest Common Multiple of 622,990,973 using Common Division

2	622, 990, 973
	311, 495, 973

∴ So the LCM of the given numbers is 2 x 311 x 495 x 973 = 299576970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/299576970

Therefore, the GCF of Fractions 77/622,77/990,275/973 is 11/299576970

Least Common Multiple of 622,990,973 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 622,990,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,990,973) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(622,990,973) x common factors =1 x 2 = 2

LCM(622,990,973) = ( 622 × 990 × 973 ) / 2

LCM(622,990,973) = 599153940 / 2

LCM(622,990,973) = 299576970

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 77/622, 77/990, 275/973

1. What is the HCF of 77,77,275?

The HCF of 77,77,275 is 11

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 77/622, 77/990, 275/973?

Answer: GCF of Numerators as per given numbers 77/622, 77/990, 275/973 is

GCF of Numerators i.e. for 77,77,275 is 11

LCM of denominators i.e. for 622,990,973 is 299576970.

Thus, GCF of Fractions is 11/299576970.Finally, GCF of Fractions for 77/622, 77/990, 275/973 is 11/299576970.