GCF of 8646/947, 7139/5811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8646/947, 7139/5811 i.e 11/5503017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8646/947, 7139/5811.
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 8646/947,7139/5811?
Given fractions are 8646/947,7139/5811
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 8646/947,7139/5811, numerators are 8646,7139
Denominators are 947,5811
The GCF of 8646,7139 is 11 .
LCM of 947,5811 is 5503017.
The greatest common factor of 8646/947,7139/5811 = [GCF of 8646,7139]/[LCM of 947,5811]= 11/5503017
Therefore, the GCF of 8646/947,7139/5811 is 11/5503017.
To find the highest common factor of 8646,7139, we have to find the factors of both numbers and list the highest common factor.
The factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
The factors of 7139 are 1, 11, 59, 121, 649, 7139
The HCF of 8646,7139 is 11.
Lets's calculate GCF of 8646,7139
| 11 | 8646, 7139 |
| 786, 649 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8646,7139 By Matching Biggest Common Factor Method
Now, list down the factors of 8646
:1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Now, list down the factors of 7139
:1,11,59,121,649,7139
Greatest Common Factor
We found the factors 8646,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 8646,7139 is 11.
Lets's calculate LCM of 947,5811
Given numbers has no common factors except 1. So, there LCM is their product i.e 5503017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5503017
Therefore, the GCF of Fractions 8646/947,7139/5811 is 11/5503017
Least Common Multiple of 947,5811 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 947,5811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,5811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,5811) x common factors =1 x 1 = 1
LCM(947,5811) = ( 947 × 5811 ) / 1
LCM(947,5811) = 5503017 / 1
LCM(947,5811) = 5503017
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8646/947, 7139/5811
1. What is the HCF of 8646,7139?
The HCF of 8646,7139 is 11
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 8646/947, 7139/5811?
Answer: GCF of Numerators as per given numbers 8646/947, 7139/5811 is
GCF of Numerators i.e. for 8646,7139 is 11
LCM of denominators i.e. for 947,5811 is 5503017.
Thus, GCF of Fractions is 11/5503017.Finally, GCF of Fractions for 8646/947, 7139/5811 is 11/5503017.