GCF of 5035/976, 9995/6602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5035/976, 9995/6602 i.e 5/3221776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5035/976, 9995/6602.
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 5035/976,9995/6602?
Given fractions are 5035/976,9995/6602
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 5035/976,9995/6602, numerators are 5035,9995
Denominators are 976,6602
The GCF of 5035,9995 is 5 .
LCM of 976,6602 is 3221776.
The greatest common factor of 5035/976,9995/6602 = [GCF of 5035,9995]/[LCM of 976,6602]= 5/3221776
Therefore, the GCF of 5035/976,9995/6602 is 5/3221776.
To find the highest common factor of 5035,9995, we have to find the factors of both numbers and list the highest common factor.
The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035
The factors of 9995 are 1, 5, 1999, 9995
The HCF of 5035,9995 is 5.
Lets's calculate GCF of 5035,9995
| 5 | 5035, 9995 |
| 1007, 1999 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5035,9995 By Matching Biggest Common Factor Method
Now, list down the factors of 5035
:1,5,19,53,95,265,1007,5035
Now, list down the factors of 9995
:1,5,1999,9995
Greatest Common Factor
We found the factors 5035,9995 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,9995 is 5.
Lets's calculate LCM of 976,6602
| 2 | 976, 6602 |
| 488, 3301 |
∴ So the LCM of the given numbers is 2 x 488 x 3301 = 3221776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3221776
Therefore, the GCF of Fractions 5035/976,9995/6602 is 5/3221776
Least Common Multiple of 976,6602 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 976,6602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,6602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,6602) x common factors =2 x 1 = 2
LCM(976,6602) = ( 976 × 6602 ) / 2
LCM(976,6602) = 6443552 / 2
LCM(976,6602) = 3221776
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FAQs on GCF of Fractions of 5035/976, 9995/6602
1. What is the HCF of 5035,9995?
The HCF of 5035,9995 is 5
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 5035/976, 9995/6602?
Answer: GCF of Numerators as per given numbers 5035/976, 9995/6602 is
GCF of Numerators i.e. for 5035,9995 is 5
LCM of denominators i.e. for 976,6602 is 3221776.
Thus, GCF of Fractions is 5/3221776.Finally, GCF of Fractions for 5035/976, 9995/6602 is 5/3221776.