GCF of 2034/851, 5228/9235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2034/851, 5228/9235 i.e 2/7858985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2034/851, 5228/9235.
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 2034/851,5228/9235?
Given fractions are 2034/851,5228/9235
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 2034/851,5228/9235, numerators are 2034,5228
Denominators are 851,9235
The GCF of 2034,5228 is 2 .
LCM of 851,9235 is 7858985.
The greatest common factor of 2034/851,5228/9235 = [GCF of 2034,5228]/[LCM of 851,9235]= 2/7858985
Therefore, the GCF of 2034/851,5228/9235 is 2/7858985.
To find the highest common factor of 2034,5228, we have to find the factors of both numbers and list the highest common factor.
The factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034
The factors of 5228 are 1, 2, 4, 1307, 2614, 5228
The HCF of 2034,5228 is 2.
Lets's calculate GCF of 2034,5228
| 2 | 2034, 5228 |
| 1017, 2614 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2034,5228 By Matching Biggest Common Factor Method
Now, list down the factors of 2034
:1,2,3,6,9,18,113,226,339,678,1017,2034
Now, list down the factors of 5228
:1,2,4,1307,2614,5228
Greatest Common Factor
We found the factors 2034,5228 . The biggest common factor number is the GCF number.
So the greatest common factor 2034,5228 is 2.
Lets's calculate LCM of 851,9235
Given numbers has no common factors except 1. So, there LCM is their product i.e 7858985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7858985
Therefore, the GCF of Fractions 2034/851,5228/9235 is 2/7858985
Least Common Multiple of 851,9235 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 851,9235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,9235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,9235) x common factors =1 x 1 = 1
LCM(851,9235) = ( 851 × 9235 ) / 1
LCM(851,9235) = 7858985 / 1
LCM(851,9235) = 7858985
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FAQs on GCF of Fractions of 2034/851, 5228/9235
1. What is the HCF of 2034,5228?
The HCF of 2034,5228 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 2034/851, 5228/9235?
Answer: GCF of Numerators as per given numbers 2034/851, 5228/9235 is
GCF of Numerators i.e. for 2034,5228 is 2
LCM of denominators i.e. for 851,9235 is 7858985.
Thus, GCF of Fractions is 2/7858985.Finally, GCF of Fractions for 2034/851, 5228/9235 is 2/7858985.