GCF of 1235/879, 4068/3813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1235/879, 4068/3813 i.e 1/1117209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1235/879, 4068/3813.
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 1235/879,4068/3813?
Given fractions are 1235/879,4068/3813
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 1235/879,4068/3813, numerators are 1235,4068
Denominators are 879,3813
The GCF of 1235,4068 is 1 .
LCM of 879,3813 is 1117209.
The greatest common factor of 1235/879,4068/3813 = [GCF of 1235,4068]/[LCM of 879,3813]= 1/1117209
Therefore, the GCF of 1235/879,4068/3813 is 1/1117209.
To find the highest common factor of 1235,4068, we have to find the factors of both numbers and list the highest common factor.
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068
The HCF of 1235,4068 is 1.
Lets's calculate GCF of 1235,4068
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1235,4068 By Matching Biggest Common Factor Method
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Now, list down the factors of 4068
:1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068
Greatest Common Factor
We found the factors 1235,4068 . The biggest common factor number is the GCF number.
So the greatest common factor 1235,4068 is 1.
Lets's calculate LCM of 879,3813
| 3 | 879, 3813 |
| 293, 1271 |
∴ So the LCM of the given numbers is 3 x 293 x 1271 = 1117209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117209
Therefore, the GCF of Fractions 1235/879,4068/3813 is 1/1117209
Least Common Multiple of 879,3813 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 879,3813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,3813) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,3813) x common factors =3 x 1 = 3
LCM(879,3813) = ( 879 × 3813 ) / 3
LCM(879,3813) = 3351627 / 3
LCM(879,3813) = 1117209
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FAQs on GCF of Fractions of 1235/879, 4068/3813
1. What is the HCF of 1235,4068?
The HCF of 1235,4068 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 1235/879, 4068/3813?
Answer: GCF of Numerators as per given numbers 1235/879, 4068/3813 is
GCF of Numerators i.e. for 1235,4068 is 1
LCM of denominators i.e. for 879,3813 is 1117209.
Thus, GCF of Fractions is 1/1117209.Finally, GCF of Fractions for 1235/879, 4068/3813 is 1/1117209.