GCF of 52/36, 24/798, 784/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 52/36, 24/798, 784/285 i.e 4/23940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/36, 24/798, 784/285.
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 52/36,24/798,784/285?
Given fractions are 52/36,24/798,784/285
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 52/36,24/798,784/285, numerators are 52,24,784
Denominators are 36,798,285
The GCF of 52,24,784 is 4 .
LCM of 36,798,285 is 23940.
The greatest common factor of 52/36,24/798,784/285 = [GCF of 52,24,784]/[LCM of 36,798,285]= 4/23940
Therefore, the GCF of 52/36,24/798,784/285 is 4/23940.
To find the highest common factor of 52,24,784, 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 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The HCF of 52,24,784 is 4.
Lets's calculate GCF of 52,24,784
| 2 | 52, 24, 784 |
| 2 | 26, 12, 392 |
| 13, 6, 196 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 52,24,784 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 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 52,24,784 . The biggest common factor number is the GCF number.
So the greatest common factor 52,24,784 is 4.
Lets's calculate LCM of 36,798,285
| 2 | 36, 798, 285 |
| 3 | 18, 399, 285 |
| 19 | 6, 133, 95 |
| 6, 7, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 6 x 7 x 5 = 23940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23940
Therefore, the GCF of Fractions 52/36,24/798,784/285 is 4/23940
Least Common Multiple of 36,798,285 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 36,798,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,798,285) = 3
common factors(in case of two or more numbers have common factors) = 114
GCF(36,798,285) x common factors =3 x 114 = 342
LCM(36,798,285) = ( 36 × 798 × 285 ) / 342
LCM(36,798,285) = 8187480 / 342
LCM(36,798,285) = 23940
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FAQs on GCF of Fractions of 52/36, 24/798, 784/285
1. What is the HCF of 52,24,784?
The HCF of 52,24,784 is 4
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 52/36, 24/798, 784/285?
Answer: GCF of Numerators as per given numbers 52/36, 24/798, 784/285 is
GCF of Numerators i.e. for 52,24,784 is 4
LCM of denominators i.e. for 36,798,285 is 23940.
Thus, GCF of Fractions is 4/23940.Finally, GCF of Fractions for 52/36, 24/798, 784/285 is 4/23940.