GCF of 952/65, 504/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 952/65, 504/495 i.e 56/6435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/65, 504/495.
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 952/65,504/495?
Given fractions are 952/65,504/495
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 952/65,504/495, numerators are 952,504
Denominators are 65,495
The GCF of 952,504 is 56 .
LCM of 65,495 is 6435.
The greatest common factor of 952/65,504/495 = [GCF of 952,504]/[LCM of 65,495]= 56/6435
Therefore, the GCF of 952/65,504/495 is 56/6435.
To find the highest common factor of 952,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 952,504 is 56.
Lets's calculate GCF of 952,504
| 2 | 952, 504 |
| 2 | 476, 252 |
| 2 | 238, 126 |
| 7 | 119, 63 |
| 17, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 952,504 By Matching Biggest Common Factor Method
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 952,504 . The biggest common factor number is the GCF number.
So the greatest common factor 952,504 is 56.
Lets's calculate LCM of 65,495
| 5 | 65, 495 |
| 13, 99 |
∴ So the LCM of the given numbers is 5 x 13 x 99 = 6435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/6435
Therefore, the GCF of Fractions 952/65,504/495 is 56/6435
Least Common Multiple of 65,495 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 65,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,495) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,495) x common factors =5 x 1 = 5
LCM(65,495) = ( 65 × 495 ) / 5
LCM(65,495) = 32175 / 5
LCM(65,495) = 6435
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FAQs on GCF of Fractions of 952/65, 504/495
1. What is the HCF of 952,504?
The HCF of 952,504 is 56
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 952/65, 504/495?
Answer: GCF of Numerators as per given numbers 952/65, 504/495 is
GCF of Numerators i.e. for 952,504 is 56
LCM of denominators i.e. for 65,495 is 6435.
Thus, GCF of Fractions is 56/6435.Finally, GCF of Fractions for 952/65, 504/495 is 56/6435.