GCF of 4616/875, 1996/7365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4616/875, 1996/7365 i.e 4/1288875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4616/875, 1996/7365.
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 4616/875,1996/7365?
Given fractions are 4616/875,1996/7365
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 4616/875,1996/7365, numerators are 4616,1996
Denominators are 875,7365
The GCF of 4616,1996 is 4 .
LCM of 875,7365 is 1288875.
The greatest common factor of 4616/875,1996/7365 = [GCF of 4616,1996]/[LCM of 875,7365]= 4/1288875
Therefore, the GCF of 4616/875,1996/7365 is 4/1288875.
To find the highest common factor of 4616,1996, we have to find the factors of both numbers and list the highest common factor.
The factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616
The factors of 1996 are 1, 2, 4, 499, 998, 1996
The HCF of 4616,1996 is 4.
Lets's calculate GCF of 4616,1996
| 2 | 4616, 1996 |
| 2 | 2308, 998 |
| 1154, 499 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4616,1996 By Matching Biggest Common Factor Method
Now, list down the factors of 4616
:1,2,4,8,577,1154,2308,4616
Now, list down the factors of 1996
:1,2,4,499,998,1996
Greatest Common Factor
We found the factors 4616,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 4616,1996 is 4.
Lets's calculate LCM of 875,7365
| 5 | 875, 7365 |
| 175, 1473 |
∴ So the LCM of the given numbers is 5 x 175 x 1473 = 1288875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1288875
Therefore, the GCF of Fractions 4616/875,1996/7365 is 4/1288875
Least Common Multiple of 875,7365 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 875,7365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,7365) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(875,7365) x common factors =5 x 1 = 5
LCM(875,7365) = ( 875 × 7365 ) / 5
LCM(875,7365) = 6444375 / 5
LCM(875,7365) = 1288875
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FAQs on GCF of Fractions of 4616/875, 1996/7365
1. What is the HCF of 4616,1996?
The HCF of 4616,1996 is 4
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 4616/875, 1996/7365?
Answer: GCF of Numerators as per given numbers 4616/875, 1996/7365 is
GCF of Numerators i.e. for 4616,1996 is 4
LCM of denominators i.e. for 875,7365 is 1288875.
Thus, GCF of Fractions is 4/1288875.Finally, GCF of Fractions for 4616/875, 1996/7365 is 4/1288875.