GCF of 6950/104, 8637/520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6950/104, 8637/520 i.e 1/520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6950/104, 8637/520.
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 6950/104,8637/520?
Given fractions are 6950/104,8637/520
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 6950/104,8637/520, numerators are 6950,8637
Denominators are 104,520
The GCF of 6950,8637 is 1 .
LCM of 104,520 is 520.
The greatest common factor of 6950/104,8637/520 = [GCF of 6950,8637]/[LCM of 104,520]= 1/520
Therefore, the GCF of 6950/104,8637/520 is 1/520.
To find the highest common factor of 6950,8637, we have to find the factors of both numbers and list the highest common factor.
The factors of 6950 are 1, 2, 5, 10, 25, 50, 139, 278, 695, 1390, 3475, 6950
The factors of 8637 are 1, 3, 2879, 8637
The HCF of 6950,8637 is 1.
Lets's calculate GCF of 6950,8637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6950,8637 By Matching Biggest Common Factor Method
Now, list down the factors of 6950
:1,2,5,10,25,50,139,278,695,1390,3475,6950
Now, list down the factors of 8637
:1,3,2879,8637
Greatest Common Factor
We found the factors 6950,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 6950,8637 is 1.
Lets's calculate LCM of 104,520
| 2 | 104, 520 |
| 2 | 52, 260 |
| 2 | 26, 130 |
| 13 | 13, 65 |
| 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 1 x 5 = 520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520
Therefore, the GCF of Fractions 6950/104,8637/520 is 1/520
Least Common Multiple of 104,520 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 104,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,520) = 104
common factors(in case of two or more numbers have common factors) = 1
GCF(104,520) x common factors =104 x 1 = 104
LCM(104,520) = ( 104 × 520 ) / 104
LCM(104,520) = 54080 / 104
LCM(104,520) = 520
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FAQs on GCF of Fractions of 6950/104, 8637/520
1. What is the HCF of 6950,8637?
The HCF of 6950,8637 is 1
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 6950/104, 8637/520?
Answer: GCF of Numerators as per given numbers 6950/104, 8637/520 is
GCF of Numerators i.e. for 6950,8637 is 1
LCM of denominators i.e. for 104,520 is 520.
Thus, GCF of Fractions is 1/520.Finally, GCF of Fractions for 6950/104, 8637/520 is 1/520.