GCF of 7628/474, 9885/8056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7628/474, 9885/8056 i.e 1/1909272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7628/474, 9885/8056.
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 7628/474,9885/8056?
Given fractions are 7628/474,9885/8056
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 7628/474,9885/8056, numerators are 7628,9885
Denominators are 474,8056
The GCF of 7628,9885 is 1 .
LCM of 474,8056 is 1909272.
The greatest common factor of 7628/474,9885/8056 = [GCF of 7628,9885]/[LCM of 474,8056]= 1/1909272
Therefore, the GCF of 7628/474,9885/8056 is 1/1909272.
To find the highest common factor of 7628,9885, we have to find the factors of both numbers and list the highest common factor.
The factors of 7628 are 1, 2, 4, 1907, 3814, 7628
The factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885
The HCF of 7628,9885 is 1.
Lets's calculate GCF of 7628,9885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7628,9885 By Matching Biggest Common Factor Method
Now, list down the factors of 7628
:1,2,4,1907,3814,7628
Now, list down the factors of 9885
:1,3,5,15,659,1977,3295,9885
Greatest Common Factor
We found the factors 7628,9885 . The biggest common factor number is the GCF number.
So the greatest common factor 7628,9885 is 1.
Lets's calculate LCM of 474,8056
| 2 | 474, 8056 |
| 237, 4028 |
∴ So the LCM of the given numbers is 2 x 237 x 4028 = 1909272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1909272
Therefore, the GCF of Fractions 7628/474,9885/8056 is 1/1909272
Least Common Multiple of 474,8056 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 474,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,8056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,8056) x common factors =2 x 1 = 2
LCM(474,8056) = ( 474 × 8056 ) / 2
LCM(474,8056) = 3818544 / 2
LCM(474,8056) = 1909272
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FAQs on GCF of Fractions of 7628/474, 9885/8056
1. What is the HCF of 7628,9885?
The HCF of 7628,9885 is 1
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 7628/474, 9885/8056?
Answer: GCF of Numerators as per given numbers 7628/474, 9885/8056 is
GCF of Numerators i.e. for 7628,9885 is 1
LCM of denominators i.e. for 474,8056 is 1909272.
Thus, GCF of Fractions is 1/1909272.Finally, GCF of Fractions for 7628/474, 9885/8056 is 1/1909272.