GCF of 8548/10, 5138/858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8548/10, 5138/858 i.e 2/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8548/10, 5138/858.
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 8548/10,5138/858?
Given fractions are 8548/10,5138/858
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 8548/10,5138/858, numerators are 8548,5138
Denominators are 10,858
The GCF of 8548,5138 is 2 .
LCM of 10,858 is 4290.
The greatest common factor of 8548/10,5138/858 = [GCF of 8548,5138]/[LCM of 10,858]= 2/4290
Therefore, the GCF of 8548/10,5138/858 is 2/4290.
To find the highest common factor of 8548,5138, we have to find the factors of both numbers and list the highest common factor.
The factors of 8548 are 1, 2, 4, 2137, 4274, 8548
The factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138
The HCF of 8548,5138 is 2.
Lets's calculate GCF of 8548,5138
| 2 | 8548, 5138 |
| 4274, 2569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8548,5138 By Matching Biggest Common Factor Method
Now, list down the factors of 8548
:1,2,4,2137,4274,8548
Now, list down the factors of 5138
:1,2,7,14,367,734,2569,5138
Greatest Common Factor
We found the factors 8548,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 8548,5138 is 2.
Lets's calculate LCM of 10,858
| 2 | 10, 858 |
| 5, 429 |
∴ So the LCM of the given numbers is 2 x 5 x 429 = 4290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4290
Therefore, the GCF of Fractions 8548/10,5138/858 is 2/4290
Least Common Multiple of 10,858 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 10,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,858) x common factors =2 x 1 = 2
LCM(10,858) = ( 10 × 858 ) / 2
LCM(10,858) = 8580 / 2
LCM(10,858) = 4290
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FAQs on GCF of Fractions of 8548/10, 5138/858
1. What is the HCF of 8548,5138?
The HCF of 8548,5138 is 2
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 8548/10, 5138/858?
Answer: GCF of Numerators as per given numbers 8548/10, 5138/858 is
GCF of Numerators i.e. for 8548,5138 is 2
LCM of denominators i.e. for 10,858 is 4290.
Thus, GCF of Fractions is 2/4290.Finally, GCF of Fractions for 8548/10, 5138/858 is 2/4290.