GCF of 2235/876, 9276/4342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2235/876, 9276/4342 i.e 3/1901796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2235/876, 9276/4342.
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 2235/876,9276/4342?
Given fractions are 2235/876,9276/4342
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 2235/876,9276/4342, numerators are 2235,9276
Denominators are 876,4342
The GCF of 2235,9276 is 3 .
LCM of 876,4342 is 1901796.
The greatest common factor of 2235/876,9276/4342 = [GCF of 2235,9276]/[LCM of 876,4342]= 3/1901796
Therefore, the GCF of 2235/876,9276/4342 is 3/1901796.
To find the highest common factor of 2235,9276, we have to find the factors of both numbers and list the highest common factor.
The factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The HCF of 2235,9276 is 3.
Lets's calculate GCF of 2235,9276
| 3 | 2235, 9276 |
| 745, 3092 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2235,9276 By Matching Biggest Common Factor Method
Now, list down the factors of 2235
:1,3,5,15,149,447,745,2235
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Greatest Common Factor
We found the factors 2235,9276 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,9276 is 3.
Lets's calculate LCM of 876,4342
| 2 | 876, 4342 |
| 438, 2171 |
∴ So the LCM of the given numbers is 2 x 438 x 2171 = 1901796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1901796
Therefore, the GCF of Fractions 2235/876,9276/4342 is 3/1901796
Least Common Multiple of 876,4342 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 876,4342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,4342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,4342) x common factors =2 x 1 = 2
LCM(876,4342) = ( 876 × 4342 ) / 2
LCM(876,4342) = 3803592 / 2
LCM(876,4342) = 1901796
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FAQs on GCF of Fractions of 2235/876, 9276/4342
1. What is the HCF of 2235,9276?
The HCF of 2235,9276 is 3
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 2235/876, 9276/4342?
Answer: GCF of Numerators as per given numbers 2235/876, 9276/4342 is
GCF of Numerators i.e. for 2235,9276 is 3
LCM of denominators i.e. for 876,4342 is 1901796.
Thus, GCF of Fractions is 3/1901796.Finally, GCF of Fractions for 2235/876, 9276/4342 is 3/1901796.