GCF of 6139/578, 9513/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6139/578, 9513/106 i.e 7/30634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6139/578, 9513/106.
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 6139/578,9513/106?
Given fractions are 6139/578,9513/106
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 6139/578,9513/106, numerators are 6139,9513
Denominators are 578,106
The GCF of 6139,9513 is 7 .
LCM of 578,106 is 30634.
The greatest common factor of 6139/578,9513/106 = [GCF of 6139,9513]/[LCM of 578,106]= 7/30634
Therefore, the GCF of 6139/578,9513/106 is 7/30634.
To find the highest common factor of 6139,9513, we have to find the factors of both numbers and list the highest common factor.
The factors of 6139 are 1, 7, 877, 6139
The factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513
The HCF of 6139,9513 is 7.
Lets's calculate GCF of 6139,9513
| 7 | 6139, 9513 |
| 877, 1359 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6139,9513 By Matching Biggest Common Factor Method
Now, list down the factors of 6139
:1,7,877,6139
Now, list down the factors of 9513
:1,3,7,9,21,63,151,453,1057,1359,3171,9513
Greatest Common Factor
We found the factors 6139,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 6139,9513 is 7.
Lets's calculate LCM of 578,106
| 2 | 578, 106 |
| 289, 53 |
∴ So the LCM of the given numbers is 2 x 289 x 53 = 30634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/30634
Therefore, the GCF of Fractions 6139/578,9513/106 is 7/30634
Least Common Multiple of 578,106 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 578,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,106) x common factors =2 x 1 = 2
LCM(578,106) = ( 578 × 106 ) / 2
LCM(578,106) = 61268 / 2
LCM(578,106) = 30634
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FAQs on GCF of Fractions of 6139/578, 9513/106
1. What is the HCF of 6139,9513?
The HCF of 6139,9513 is 7
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 6139/578, 9513/106?
Answer: GCF of Numerators as per given numbers 6139/578, 9513/106 is
GCF of Numerators i.e. for 6139,9513 is 7
LCM of denominators i.e. for 578,106 is 30634.
Thus, GCF of Fractions is 7/30634.Finally, GCF of Fractions for 6139/578, 9513/106 is 7/30634.