GCF of 8540/138, 4374/5526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8540/138, 4374/5526 i.e 2/127098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8540/138, 4374/5526.
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 8540/138,4374/5526?
Given fractions are 8540/138,4374/5526
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 8540/138,4374/5526, numerators are 8540,4374
Denominators are 138,5526
The GCF of 8540,4374 is 2 .
LCM of 138,5526 is 127098.
The greatest common factor of 8540/138,4374/5526 = [GCF of 8540,4374]/[LCM of 138,5526]= 2/127098
Therefore, the GCF of 8540/138,4374/5526 is 2/127098.
To find the highest common factor of 8540,4374, we have to find the factors of both numbers and list the highest common factor.
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374
The HCF of 8540,4374 is 2.
Lets's calculate GCF of 8540,4374
| 2 | 8540, 4374 |
| 4270, 2187 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8540,4374 By Matching Biggest Common Factor Method
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Now, list down the factors of 4374
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374
Greatest Common Factor
We found the factors 8540,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 8540,4374 is 2.
Lets's calculate LCM of 138,5526
| 2 | 138, 5526 |
| 3 | 69, 2763 |
| 23, 921 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 921 = 127098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127098
Therefore, the GCF of Fractions 8540/138,4374/5526 is 2/127098
Least Common Multiple of 138,5526 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 138,5526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,5526) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(138,5526) x common factors =6 x 1 = 6
LCM(138,5526) = ( 138 × 5526 ) / 6
LCM(138,5526) = 762588 / 6
LCM(138,5526) = 127098
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FAQs on GCF of Fractions of 8540/138, 4374/5526
1. What is the HCF of 8540,4374?
The HCF of 8540,4374 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 8540/138, 4374/5526?
Answer: GCF of Numerators as per given numbers 8540/138, 4374/5526 is
GCF of Numerators i.e. for 8540,4374 is 2
LCM of denominators i.e. for 138,5526 is 127098.
Thus, GCF of Fractions is 2/127098.Finally, GCF of Fractions for 8540/138, 4374/5526 is 2/127098.