GCF of 8745/353, 7843/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8745/353, 7843/7079 i.e 11/2498887 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8745/353, 7843/7079.
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 8745/353,7843/7079?
Given fractions are 8745/353,7843/7079
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 8745/353,7843/7079, numerators are 8745,7843
Denominators are 353,7079
The GCF of 8745,7843 is 11 .
LCM of 353,7079 is 2498887.
The greatest common factor of 8745/353,7843/7079 = [GCF of 8745,7843]/[LCM of 353,7079]= 11/2498887
Therefore, the GCF of 8745/353,7843/7079 is 11/2498887.
To find the highest common factor of 8745,7843, we have to find the factors of both numbers and list the highest common factor.
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843
The HCF of 8745,7843 is 11.
Lets's calculate GCF of 8745,7843
| 11 | 8745, 7843 |
| 795, 713 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8745,7843 By Matching Biggest Common Factor Method
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Now, list down the factors of 7843
:1,11,23,31,253,341,713,7843
Greatest Common Factor
We found the factors 8745,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 8745,7843 is 11.
Lets's calculate LCM of 353,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 2498887
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2498887
Therefore, the GCF of Fractions 8745/353,7843/7079 is 11/2498887
Least Common Multiple of 353,7079 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 353,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,7079) x common factors =1 x 1 = 1
LCM(353,7079) = ( 353 × 7079 ) / 1
LCM(353,7079) = 2498887 / 1
LCM(353,7079) = 2498887
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FAQs on GCF of Fractions of 8745/353, 7843/7079
1. What is the HCF of 8745,7843?
The HCF of 8745,7843 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 8745/353, 7843/7079?
Answer: GCF of Numerators as per given numbers 8745/353, 7843/7079 is
GCF of Numerators i.e. for 8745,7843 is 11
LCM of denominators i.e. for 353,7079 is 2498887.
Thus, GCF of Fractions is 11/2498887.Finally, GCF of Fractions for 8745/353, 7843/7079 is 11/2498887.