GCF of 922/75, 525/7812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/75, 525/7812 i.e 1/195300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/75, 525/7812.
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 922/75,525/7812?
Given fractions are 922/75,525/7812
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 922/75,525/7812, numerators are 922,525
Denominators are 75,7812
The GCF of 922,525 is 1 .
LCM of 75,7812 is 195300.
The greatest common factor of 922/75,525/7812 = [GCF of 922,525]/[LCM of 75,7812]= 1/195300
Therefore, the GCF of 922/75,525/7812 is 1/195300.
To find the highest common factor of 922,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 922,525 is 1.
Lets's calculate GCF of 922,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 922,525 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 922,525 . The biggest common factor number is the GCF number.
So the greatest common factor 922,525 is 1.
Lets's calculate LCM of 75,7812
| 3 | 75, 7812 |
| 25, 2604 |
∴ So the LCM of the given numbers is 3 x 25 x 2604 = 195300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195300
Therefore, the GCF of Fractions 922/75,525/7812 is 1/195300
Least Common Multiple of 75,7812 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 75,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,7812) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,7812) x common factors =3 x 1 = 3
LCM(75,7812) = ( 75 × 7812 ) / 3
LCM(75,7812) = 585900 / 3
LCM(75,7812) = 195300
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FAQs on GCF of Fractions of 922/75, 525/7812
1. What is the HCF of 922,525?
The HCF of 922,525 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 922/75, 525/7812?
Answer: GCF of Numerators as per given numbers 922/75, 525/7812 is
GCF of Numerators i.e. for 922,525 is 1
LCM of denominators i.e. for 75,7812 is 195300.
Thus, GCF of Fractions is 1/195300.Finally, GCF of Fractions for 922/75, 525/7812 is 1/195300.