GCF of 957/65, 470/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 957/65, 470/135 i.e 1/1755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/65, 470/135.
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 957/65,470/135?
Given fractions are 957/65,470/135
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 957/65,470/135, numerators are 957,470
Denominators are 65,135
The GCF of 957,470 is 1 .
LCM of 65,135 is 1755.
The greatest common factor of 957/65,470/135 = [GCF of 957,470]/[LCM of 65,135]= 1/1755
Therefore, the GCF of 957/65,470/135 is 1/1755.
To find the highest common factor of 957,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 957,470 is 1.
Lets's calculate GCF of 957,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 957,470 By Matching Biggest Common Factor Method
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 957,470 . The biggest common factor number is the GCF number.
So the greatest common factor 957,470 is 1.
Lets's calculate LCM of 65,135
| 5 | 65, 135 |
| 13, 27 |
∴ So the LCM of the given numbers is 5 x 13 x 27 = 1755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1755
Therefore, the GCF of Fractions 957/65,470/135 is 1/1755
Least Common Multiple of 65,135 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 65,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,135) x common factors =5 x 1 = 5
LCM(65,135) = ( 65 × 135 ) / 5
LCM(65,135) = 8775 / 5
LCM(65,135) = 1755
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FAQs on GCF of Fractions of 957/65, 470/135
1. What is the HCF of 957,470?
The HCF of 957,470 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 957/65, 470/135?
Answer: GCF of Numerators as per given numbers 957/65, 470/135 is
GCF of Numerators i.e. for 957,470 is 1
LCM of denominators i.e. for 65,135 is 1755.
Thus, GCF of Fractions is 1/1755.Finally, GCF of Fractions for 957/65, 470/135 is 1/1755.