GCF of 7914/120, 7635/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7914/120, 7635/942 i.e 3/18840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7914/120, 7635/942.
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 7914/120,7635/942?
Given fractions are 7914/120,7635/942
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 7914/120,7635/942, numerators are 7914,7635
Denominators are 120,942
The GCF of 7914,7635 is 3 .
LCM of 120,942 is 18840.
The greatest common factor of 7914/120,7635/942 = [GCF of 7914,7635]/[LCM of 120,942]= 3/18840
Therefore, the GCF of 7914/120,7635/942 is 3/18840.
To find the highest common factor of 7914,7635, we have to find the factors of both numbers and list the highest common factor.
The factors of 7914 are 1, 2, 3, 6, 1319, 2638, 3957, 7914
The factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635
The HCF of 7914,7635 is 3.
Lets's calculate GCF of 7914,7635
| 3 | 7914, 7635 |
| 2638, 2545 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7914,7635 By Matching Biggest Common Factor Method
Now, list down the factors of 7914
:1,2,3,6,1319,2638,3957,7914
Now, list down the factors of 7635
:1,3,5,15,509,1527,2545,7635
Greatest Common Factor
We found the factors 7914,7635 . The biggest common factor number is the GCF number.
So the greatest common factor 7914,7635 is 3.
Lets's calculate LCM of 120,942
| 2 | 120, 942 |
| 3 | 60, 471 |
| 20, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 20 x 157 = 18840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18840
Therefore, the GCF of Fractions 7914/120,7635/942 is 3/18840
Least Common Multiple of 120,942 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 120,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,942) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(120,942) x common factors =6 x 1 = 6
LCM(120,942) = ( 120 × 942 ) / 6
LCM(120,942) = 113040 / 6
LCM(120,942) = 18840
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FAQs on GCF of Fractions of 7914/120, 7635/942
1. What is the HCF of 7914,7635?
The HCF of 7914,7635 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 7914/120, 7635/942?
Answer: GCF of Numerators as per given numbers 7914/120, 7635/942 is
GCF of Numerators i.e. for 7914,7635 is 3
LCM of denominators i.e. for 120,942 is 18840.
Thus, GCF of Fractions is 3/18840.Finally, GCF of Fractions for 7914/120, 7635/942 is 3/18840.