GCF of 2842/614, 7889/9178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2842/614, 7889/9178 i.e 49/2817646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2842/614, 7889/9178.
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 2842/614,7889/9178?
Given fractions are 2842/614,7889/9178
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 2842/614,7889/9178, numerators are 2842,7889
Denominators are 614,9178
The GCF of 2842,7889 is 49 .
LCM of 614,9178 is 2817646.
The greatest common factor of 2842/614,7889/9178 = [GCF of 2842,7889]/[LCM of 614,9178]= 49/2817646
Therefore, the GCF of 2842/614,7889/9178 is 49/2817646.
To find the highest common factor of 2842,7889, we have to find the factors of both numbers and list the highest common factor.
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889
The HCF of 2842,7889 is 49.
Lets's calculate GCF of 2842,7889
| 7 | 2842, 7889 |
| 7 | 406, 1127 |
| 58, 161 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 2842,7889 By Matching Biggest Common Factor Method
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Now, list down the factors of 7889
:1,7,23,49,161,343,1127,7889
Greatest Common Factor
We found the factors 2842,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 2842,7889 is 49.
Lets's calculate LCM of 614,9178
| 2 | 614, 9178 |
| 307, 4589 |
∴ So the LCM of the given numbers is 2 x 307 x 4589 = 2817646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/2817646
Therefore, the GCF of Fractions 2842/614,7889/9178 is 49/2817646
Least Common Multiple of 614,9178 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 614,9178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,9178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,9178) x common factors =2 x 1 = 2
LCM(614,9178) = ( 614 × 9178 ) / 2
LCM(614,9178) = 5635292 / 2
LCM(614,9178) = 2817646
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FAQs on GCF of Fractions of 2842/614, 7889/9178
1. What is the HCF of 2842,7889?
The HCF of 2842,7889 is 49
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 2842/614, 7889/9178?
Answer: GCF of Numerators as per given numbers 2842/614, 7889/9178 is
GCF of Numerators i.e. for 2842,7889 is 49
LCM of denominators i.e. for 614,9178 is 2817646.
Thus, GCF of Fractions is 49/2817646.Finally, GCF of Fractions for 2842/614, 7889/9178 is 49/2817646.