GCF of 52/87, 64/25, 70/78, 39/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 52/87, 64/25, 70/78, 39/464 i.e 1/452400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/87, 64/25, 70/78, 39/464.
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 52/87,64/25,70/78,39/464?
Given fractions are 52/87,64/25,70/78,39/464
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 52/87,64/25,70/78,39/464, numerators are 52,64,70,39
Denominators are 87,25,78,464
The GCF of 52,64,70,39 is 1 .
LCM of 87,25,78,464 is 452400.
The greatest common factor of 52/87,64/25,70/78,39/464 = [GCF of 52,64,70,39]/[LCM of 87,25,78,464]= 1/452400
Therefore, the GCF of 52/87,64/25,70/78,39/464 is 1/452400.
To find the highest common factor of 52,64,70,39, we have to find the factors of both numbers and list the highest common factor.
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 39 are 1, 3, 13, 39
The HCF of 52,64,70,39 is 1.
Lets's calculate GCF of 52,64,70,39
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 52,64,70,39 By Matching Biggest Common Factor Method
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 39
:1,3,13,39
Greatest Common Factor
We found the factors 52,64,70,39 . The biggest common factor number is the GCF number.
So the greatest common factor 52,64,70,39 is 1.
Lets's calculate LCM of 87,25,78,464
| 2 | 87, 25, 78, 464 |
| 3 | 87, 25, 39, 232 |
| 29 | 29, 25, 13, 232 |
| 1, 25, 13, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 25 x 13 x 8 = 452400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452400
Therefore, the GCF of Fractions 52/87,64/25,70/78,39/464 is 1/452400
Least Common Multiple of 87,25,78,464 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 87,25,78,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,25,78,464) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(87,25,78,464) x common factors =1 x 174 = 174
LCM(87,25,78,464) = ( 87 × 25 × 78 × 464 ) / 174
LCM(87,25,78,464) = 78717600 / 174
LCM(87,25,78,464) = 452400
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 52/87, 64/25, 70/78, 39/464
1. What is the HCF of 52,64,70,39?
The HCF of 52,64,70,39 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 52/87, 64/25, 70/78, 39/464?
Answer: GCF of Numerators as per given numbers 52/87, 64/25, 70/78, 39/464 is
GCF of Numerators i.e. for 52,64,70,39 is 1
LCM of denominators i.e. for 87,25,78,464 is 452400.
Thus, GCF of Fractions is 1/452400.Finally, GCF of Fractions for 52/87, 64/25, 70/78, 39/464 is 1/452400.