GCF of 7139/82, 8228/637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7139/82, 8228/637 i.e 121/52234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7139/82, 8228/637.
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 7139/82,8228/637?
Given fractions are 7139/82,8228/637
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 7139/82,8228/637, numerators are 7139,8228
Denominators are 82,637
The GCF of 7139,8228 is 121 .
LCM of 82,637 is 52234.
The greatest common factor of 7139/82,8228/637 = [GCF of 7139,8228]/[LCM of 82,637]= 121/52234
Therefore, the GCF of 7139/82,8228/637 is 121/52234.
To find the highest common factor of 7139,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 7139 are 1, 11, 59, 121, 649, 7139
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 7139,8228 is 121.
Lets's calculate GCF of 7139,8228
| 11 | 7139, 8228 |
| 11 | 649, 748 |
| 59, 68 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Greatest Common Factor of 7139,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 7139
:1,11,59,121,649,7139
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 7139,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 7139,8228 is 121.
Lets's calculate LCM of 82,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 52234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/52234
Therefore, the GCF of Fractions 7139/82,8228/637 is 121/52234
Least Common Multiple of 82,637 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 82,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,637) x common factors =1 x 1 = 1
LCM(82,637) = ( 82 × 637 ) / 1
LCM(82,637) = 52234 / 1
LCM(82,637) = 52234
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FAQs on GCF of Fractions of 7139/82, 8228/637
1. What is the HCF of 7139,8228?
The HCF of 7139,8228 is 121
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 7139/82, 8228/637?
Answer: GCF of Numerators as per given numbers 7139/82, 8228/637 is
GCF of Numerators i.e. for 7139,8228 is 121
LCM of denominators i.e. for 82,637 is 52234.
Thus, GCF of Fractions is 121/52234.Finally, GCF of Fractions for 7139/82, 8228/637 is 121/52234.