GCF of 8532/307, 5668/5108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8532/307, 5668/5108 i.e 4/1568156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8532/307, 5668/5108.
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 8532/307,5668/5108?
Given fractions are 8532/307,5668/5108
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 8532/307,5668/5108, numerators are 8532,5668
Denominators are 307,5108
The GCF of 8532,5668 is 4 .
LCM of 307,5108 is 1568156.
The greatest common factor of 8532/307,5668/5108 = [GCF of 8532,5668]/[LCM of 307,5108]= 4/1568156
Therefore, the GCF of 8532/307,5668/5108 is 4/1568156.
To find the highest common factor of 8532,5668, we have to find the factors of both numbers and list the highest common factor.
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668
The HCF of 8532,5668 is 4.
Lets's calculate GCF of 8532,5668
| 2 | 8532, 5668 |
| 2 | 4266, 2834 |
| 2133, 1417 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8532,5668 By Matching Biggest Common Factor Method
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Now, list down the factors of 5668
:1,2,4,13,26,52,109,218,436,1417,2834,5668
Greatest Common Factor
We found the factors 8532,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 8532,5668 is 4.
Lets's calculate LCM of 307,5108
Given numbers has no common factors except 1. So, there LCM is their product i.e 1568156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1568156
Therefore, the GCF of Fractions 8532/307,5668/5108 is 4/1568156
Least Common Multiple of 307,5108 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 307,5108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5108) x common factors =1 x 1 = 1
LCM(307,5108) = ( 307 × 5108 ) / 1
LCM(307,5108) = 1568156 / 1
LCM(307,5108) = 1568156
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FAQs on GCF of Fractions of 8532/307, 5668/5108
1. What is the HCF of 8532,5668?
The HCF of 8532,5668 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 8532/307, 5668/5108?
Answer: GCF of Numerators as per given numbers 8532/307, 5668/5108 is
GCF of Numerators i.e. for 8532,5668 is 4
LCM of denominators i.e. for 307,5108 is 1568156.
Thus, GCF of Fractions is 4/1568156.Finally, GCF of Fractions for 8532/307, 5668/5108 is 4/1568156.