GCF of 6359/252, 9514/3975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6359/252, 9514/3975 i.e 1/333900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6359/252, 9514/3975.
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 6359/252,9514/3975?
Given fractions are 6359/252,9514/3975
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 6359/252,9514/3975, numerators are 6359,9514
Denominators are 252,3975
The GCF of 6359,9514 is 1 .
LCM of 252,3975 is 333900.
The greatest common factor of 6359/252,9514/3975 = [GCF of 6359,9514]/[LCM of 252,3975]= 1/333900
Therefore, the GCF of 6359/252,9514/3975 is 1/333900.
To find the highest common factor of 6359,9514, we have to find the factors of both numbers and list the highest common factor.
The factors of 6359 are 1, 6359
The factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514
The HCF of 6359,9514 is 1.
Lets's calculate GCF of 6359,9514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6359,9514 By Matching Biggest Common Factor Method
Now, list down the factors of 6359
:1,6359
Now, list down the factors of 9514
:1,2,67,71,134,142,4757,9514
Greatest Common Factor
We found the factors 6359,9514 . The biggest common factor number is the GCF number.
So the greatest common factor 6359,9514 is 1.
Lets's calculate LCM of 252,3975
| 3 | 252, 3975 |
| 84, 1325 |
∴ So the LCM of the given numbers is 3 x 84 x 1325 = 333900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333900
Therefore, the GCF of Fractions 6359/252,9514/3975 is 1/333900
Least Common Multiple of 252,3975 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 252,3975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,3975) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(252,3975) x common factors =3 x 1 = 3
LCM(252,3975) = ( 252 × 3975 ) / 3
LCM(252,3975) = 1001700 / 3
LCM(252,3975) = 333900
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FAQs on GCF of Fractions of 6359/252, 9514/3975
1. What is the HCF of 6359,9514?
The HCF of 6359,9514 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 6359/252, 9514/3975?
Answer: GCF of Numerators as per given numbers 6359/252, 9514/3975 is
GCF of Numerators i.e. for 6359,9514 is 1
LCM of denominators i.e. for 252,3975 is 333900.
Thus, GCF of Fractions is 1/333900.Finally, GCF of Fractions for 6359/252, 9514/3975 is 1/333900.