GCF of 1251/338, 9605/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1251/338, 9605/564 i.e 1/95316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1251/338, 9605/564.
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 1251/338,9605/564?
Given fractions are 1251/338,9605/564
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 1251/338,9605/564, numerators are 1251,9605
Denominators are 338,564
The GCF of 1251,9605 is 1 .
LCM of 338,564 is 95316.
The greatest common factor of 1251/338,9605/564 = [GCF of 1251,9605]/[LCM of 338,564]= 1/95316
Therefore, the GCF of 1251/338,9605/564 is 1/95316.
To find the highest common factor of 1251,9605, we have to find the factors of both numbers and list the highest common factor.
The factors of 1251 are 1, 3, 9, 139, 417, 1251
The factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605
The HCF of 1251,9605 is 1.
Lets's calculate GCF of 1251,9605
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1251,9605 By Matching Biggest Common Factor Method
Now, list down the factors of 1251
:1,3,9,139,417,1251
Now, list down the factors of 9605
:1,5,17,85,113,565,1921,9605
Greatest Common Factor
We found the factors 1251,9605 . The biggest common factor number is the GCF number.
So the greatest common factor 1251,9605 is 1.
Lets's calculate LCM of 338,564
| 2 | 338, 564 |
| 169, 282 |
∴ So the LCM of the given numbers is 2 x 169 x 282 = 95316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95316
Therefore, the GCF of Fractions 1251/338,9605/564 is 1/95316
Least Common Multiple of 338,564 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 338,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,564) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,564) x common factors =2 x 1 = 2
LCM(338,564) = ( 338 × 564 ) / 2
LCM(338,564) = 190632 / 2
LCM(338,564) = 95316
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FAQs on GCF of Fractions of 1251/338, 9605/564
1. What is the HCF of 1251,9605?
The HCF of 1251,9605 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 1251/338, 9605/564?
Answer: GCF of Numerators as per given numbers 1251/338, 9605/564 is
GCF of Numerators i.e. for 1251,9605 is 1
LCM of denominators i.e. for 338,564 is 95316.
Thus, GCF of Fractions is 1/95316.Finally, GCF of Fractions for 1251/338, 9605/564 is 1/95316.