GCF of 7626/403, 6314/2230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7626/403, 6314/2230 i.e 82/898690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7626/403, 6314/2230.
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 7626/403,6314/2230?
Given fractions are 7626/403,6314/2230
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 7626/403,6314/2230, numerators are 7626,6314
Denominators are 403,2230
The GCF of 7626,6314 is 82 .
LCM of 403,2230 is 898690.
The greatest common factor of 7626/403,6314/2230 = [GCF of 7626,6314]/[LCM of 403,2230]= 82/898690
Therefore, the GCF of 7626/403,6314/2230 is 82/898690.
To find the highest common factor of 7626,6314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7626 are 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626
The factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314
The HCF of 7626,6314 is 82.
Lets's calculate GCF of 7626,6314
| 2 | 7626, 6314 |
| 41 | 3813, 3157 |
| 93, 77 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 7626,6314 By Matching Biggest Common Factor Method
Now, list down the factors of 7626
:1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626
Now, list down the factors of 6314
:1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314
Greatest Common Factor
We found the factors 7626,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 7626,6314 is 82.
Lets's calculate LCM of 403,2230
Given numbers has no common factors except 1. So, there LCM is their product i.e 898690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/898690
Therefore, the GCF of Fractions 7626/403,6314/2230 is 82/898690
Least Common Multiple of 403,2230 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 403,2230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,2230) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,2230) x common factors =1 x 1 = 1
LCM(403,2230) = ( 403 × 2230 ) / 1
LCM(403,2230) = 898690 / 1
LCM(403,2230) = 898690
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FAQs on GCF of Fractions of 7626/403, 6314/2230
1. What is the HCF of 7626,6314?
The HCF of 7626,6314 is 82
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 7626/403, 6314/2230?
Answer: GCF of Numerators as per given numbers 7626/403, 6314/2230 is
GCF of Numerators i.e. for 7626,6314 is 82
LCM of denominators i.e. for 403,2230 is 898690.
Thus, GCF of Fractions is 82/898690.Finally, GCF of Fractions for 7626/403, 6314/2230 is 82/898690.