GCF of 8732/152, 8872/2488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8732/152, 8872/2488 i.e 4/47272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8732/152, 8872/2488.
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 8732/152,8872/2488?
Given fractions are 8732/152,8872/2488
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 8732/152,8872/2488, numerators are 8732,8872
Denominators are 152,2488
The GCF of 8732,8872 is 4 .
LCM of 152,2488 is 47272.
The greatest common factor of 8732/152,8872/2488 = [GCF of 8732,8872]/[LCM of 152,2488]= 4/47272
Therefore, the GCF of 8732/152,8872/2488 is 4/47272.
To find the highest common factor of 8732,8872, we have to find the factors of both numbers and list the highest common factor.
The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732
The factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872
The HCF of 8732,8872 is 4.
Lets's calculate GCF of 8732,8872
| 2 | 8732, 8872 |
| 2 | 4366, 4436 |
| 2183, 2218 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8732,8872 By Matching Biggest Common Factor Method
Now, list down the factors of 8732
:1,2,4,37,59,74,118,148,236,2183,4366,8732
Now, list down the factors of 8872
:1,2,4,8,1109,2218,4436,8872
Greatest Common Factor
We found the factors 8732,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 8732,8872 is 4.
Lets's calculate LCM of 152,2488
| 2 | 152, 2488 |
| 2 | 76, 1244 |
| 2 | 38, 622 |
| 19, 311 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 311 = 47272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47272
Therefore, the GCF of Fractions 8732/152,8872/2488 is 4/47272
Least Common Multiple of 152,2488 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 152,2488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,2488) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(152,2488) x common factors =8 x 1 = 8
LCM(152,2488) = ( 152 × 2488 ) / 8
LCM(152,2488) = 378176 / 8
LCM(152,2488) = 47272
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FAQs on GCF of Fractions of 8732/152, 8872/2488
1. What is the HCF of 8732,8872?
The HCF of 8732,8872 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 8732/152, 8872/2488?
Answer: GCF of Numerators as per given numbers 8732/152, 8872/2488 is
GCF of Numerators i.e. for 8732,8872 is 4
LCM of denominators i.e. for 152,2488 is 47272.
Thus, GCF of Fractions is 4/47272.Finally, GCF of Fractions for 8732/152, 8872/2488 is 4/47272.