GCF of 9694/403, 5628/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9694/403, 5628/761 i.e 2/306683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9694/403, 5628/761.
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 9694/403,5628/761?
Given fractions are 9694/403,5628/761
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 9694/403,5628/761, numerators are 9694,5628
Denominators are 403,761
The GCF of 9694,5628 is 2 .
LCM of 403,761 is 306683.
The greatest common factor of 9694/403,5628/761 = [GCF of 9694,5628]/[LCM of 403,761]= 2/306683
Therefore, the GCF of 9694/403,5628/761 is 2/306683.
To find the highest common factor of 9694,5628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628
The HCF of 9694,5628 is 2.
Lets's calculate GCF of 9694,5628
| 2 | 9694, 5628 |
| 4847, 2814 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9694,5628 By Matching Biggest Common Factor Method
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Now, list down the factors of 5628
:1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Greatest Common Factor
We found the factors 9694,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,5628 is 2.
Lets's calculate LCM of 403,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 306683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306683
Therefore, the GCF of Fractions 9694/403,5628/761 is 2/306683
Least Common Multiple of 403,761 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 403,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,761) x common factors =1 x 1 = 1
LCM(403,761) = ( 403 × 761 ) / 1
LCM(403,761) = 306683 / 1
LCM(403,761) = 306683
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FAQs on GCF of Fractions of 9694/403, 5628/761
1. What is the HCF of 9694,5628?
The HCF of 9694,5628 is 2
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 9694/403, 5628/761?
Answer: GCF of Numerators as per given numbers 9694/403, 5628/761 is
GCF of Numerators i.e. for 9694,5628 is 2
LCM of denominators i.e. for 403,761 is 306683.
Thus, GCF of Fractions is 2/306683.Finally, GCF of Fractions for 9694/403, 5628/761 is 2/306683.