GCF of 1128/834, 8225/8422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1128/834, 8225/8422 i.e 47/3511974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1128/834, 8225/8422.
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 1128/834,8225/8422?
Given fractions are 1128/834,8225/8422
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 1128/834,8225/8422, numerators are 1128,8225
Denominators are 834,8422
The GCF of 1128,8225 is 47 .
LCM of 834,8422 is 3511974.
The greatest common factor of 1128/834,8225/8422 = [GCF of 1128,8225]/[LCM of 834,8422]= 47/3511974
Therefore, the GCF of 1128/834,8225/8422 is 47/3511974.
To find the highest common factor of 1128,8225, we have to find the factors of both numbers and list the highest common factor.
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225
The HCF of 1128,8225 is 47.
Lets's calculate GCF of 1128,8225
| 47 | 1128, 8225 |
| 24, 175 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 1128,8225 By Matching Biggest Common Factor Method
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Now, list down the factors of 8225
:1,5,7,25,35,47,175,235,329,1175,1645,8225
Greatest Common Factor
We found the factors 1128,8225 . The biggest common factor number is the GCF number.
So the greatest common factor 1128,8225 is 47.
Lets's calculate LCM of 834,8422
| 2 | 834, 8422 |
| 417, 4211 |
∴ So the LCM of the given numbers is 2 x 417 x 4211 = 3511974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/3511974
Therefore, the GCF of Fractions 1128/834,8225/8422 is 47/3511974
Least Common Multiple of 834,8422 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 834,8422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,8422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,8422) x common factors =2 x 1 = 2
LCM(834,8422) = ( 834 × 8422 ) / 2
LCM(834,8422) = 7023948 / 2
LCM(834,8422) = 3511974
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FAQs on GCF of Fractions of 1128/834, 8225/8422
1. What is the HCF of 1128,8225?
The HCF of 1128,8225 is 47
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 1128/834, 8225/8422?
Answer: GCF of Numerators as per given numbers 1128/834, 8225/8422 is
GCF of Numerators i.e. for 1128,8225 is 47
LCM of denominators i.e. for 834,8422 is 3511974.
Thus, GCF of Fractions is 47/3511974.Finally, GCF of Fractions for 1128/834, 8225/8422 is 47/3511974.