GCF of 139/609, 829/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 139/609, 829/854 i.e 1/74298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/609, 829/854.
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 139/609,829/854?
Given fractions are 139/609,829/854
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 139/609,829/854, numerators are 139,829
Denominators are 609,854
The GCF of 139,829 is 1 .
LCM of 609,854 is 74298.
The greatest common factor of 139/609,829/854 = [GCF of 139,829]/[LCM of 609,854]= 1/74298
Therefore, the GCF of 139/609,829/854 is 1/74298.
To find the highest common factor of 139,829, we have to find the factors of both numbers and list the highest common factor.
The factors of 139 are 1, 139
The factors of 829 are 1, 829
The HCF of 139,829 is 1.
Lets's calculate GCF of 139,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 139,829 By Matching Biggest Common Factor Method
Now, list down the factors of 139
:1,139
Now, list down the factors of 829
:1,829
Greatest Common Factor
We found the factors 139,829 . The biggest common factor number is the GCF number.
So the greatest common factor 139,829 is 1.
Lets's calculate LCM of 609,854
| 7 | 609, 854 |
| 87, 122 |
∴ So the LCM of the given numbers is 7 x 87 x 122 = 74298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74298
Therefore, the GCF of Fractions 139/609,829/854 is 1/74298
Least Common Multiple of 609,854 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 609,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,854) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(609,854) x common factors =7 x 1 = 7
LCM(609,854) = ( 609 × 854 ) / 7
LCM(609,854) = 520086 / 7
LCM(609,854) = 74298
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FAQs on GCF of Fractions of 139/609, 829/854
1. What is the HCF of 139,829?
The HCF of 139,829 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 139/609, 829/854?
Answer: GCF of Numerators as per given numbers 139/609, 829/854 is
GCF of Numerators i.e. for 139,829 is 1
LCM of denominators i.e. for 609,854 is 74298.
Thus, GCF of Fractions is 1/74298.Finally, GCF of Fractions for 139/609, 829/854 is 1/74298.