GCF of 8956/148, 5300/9672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8956/148, 5300/9672 i.e 4/357864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8956/148, 5300/9672.
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 8956/148,5300/9672?
Given fractions are 8956/148,5300/9672
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 8956/148,5300/9672, numerators are 8956,5300
Denominators are 148,9672
The GCF of 8956,5300 is 4 .
LCM of 148,9672 is 357864.
The greatest common factor of 8956/148,5300/9672 = [GCF of 8956,5300]/[LCM of 148,9672]= 4/357864
Therefore, the GCF of 8956/148,5300/9672 is 4/357864.
To find the highest common factor of 8956,5300, we have to find the factors of both numbers and list the highest common factor.
The factors of 8956 are 1, 2, 4, 2239, 4478, 8956
The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300
The HCF of 8956,5300 is 4.
Lets's calculate GCF of 8956,5300
| 2 | 8956, 5300 |
| 2 | 4478, 2650 |
| 2239, 1325 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8956,5300 By Matching Biggest Common Factor Method
Now, list down the factors of 8956
:1,2,4,2239,4478,8956
Now, list down the factors of 5300
:1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Greatest Common Factor
We found the factors 8956,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 8956,5300 is 4.
Lets's calculate LCM of 148,9672
| 2 | 148, 9672 |
| 2 | 74, 4836 |
| 37, 2418 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 2418 = 357864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/357864
Therefore, the GCF of Fractions 8956/148,5300/9672 is 4/357864
Least Common Multiple of 148,9672 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 148,9672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,9672) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,9672) x common factors =4 x 1 = 4
LCM(148,9672) = ( 148 × 9672 ) / 4
LCM(148,9672) = 1431456 / 4
LCM(148,9672) = 357864
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FAQs on GCF of Fractions of 8956/148, 5300/9672
1. What is the HCF of 8956,5300?
The HCF of 8956,5300 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 8956/148, 5300/9672?
Answer: GCF of Numerators as per given numbers 8956/148, 5300/9672 is
GCF of Numerators i.e. for 8956,5300 is 4
LCM of denominators i.e. for 148,9672 is 357864.
Thus, GCF of Fractions is 4/357864.Finally, GCF of Fractions for 8956/148, 5300/9672 is 4/357864.