GCF of 371/22, 622/7764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 371/22, 622/7764 i.e 1/85404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/22, 622/7764.
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 371/22,622/7764?
Given fractions are 371/22,622/7764
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 371/22,622/7764, numerators are 371,622
Denominators are 22,7764
The GCF of 371,622 is 1 .
LCM of 22,7764 is 85404.
The greatest common factor of 371/22,622/7764 = [GCF of 371,622]/[LCM of 22,7764]= 1/85404
Therefore, the GCF of 371/22,622/7764 is 1/85404.
To find the highest common factor of 371,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 622 are 1, 2, 311, 622
The HCF of 371,622 is 1.
Lets's calculate GCF of 371,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 371,622 By Matching Biggest Common Factor Method
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 371,622 . The biggest common factor number is the GCF number.
So the greatest common factor 371,622 is 1.
Lets's calculate LCM of 22,7764
| 2 | 22, 7764 |
| 11, 3882 |
∴ So the LCM of the given numbers is 2 x 11 x 3882 = 85404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85404
Therefore, the GCF of Fractions 371/22,622/7764 is 1/85404
Least Common Multiple of 22,7764 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 22,7764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,7764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,7764) x common factors =2 x 1 = 2
LCM(22,7764) = ( 22 × 7764 ) / 2
LCM(22,7764) = 170808 / 2
LCM(22,7764) = 85404
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FAQs on GCF of Fractions of 371/22, 622/7764
1. What is the HCF of 371,622?
The HCF of 371,622 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 371/22, 622/7764?
Answer: GCF of Numerators as per given numbers 371/22, 622/7764 is
GCF of Numerators i.e. for 371,622 is 1
LCM of denominators i.e. for 22,7764 is 85404.
Thus, GCF of Fractions is 1/85404.Finally, GCF of Fractions for 371/22, 622/7764 is 1/85404.