GCF of 597/13, 995/6314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 597/13, 995/6314 i.e 199/82082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/13, 995/6314.
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 597/13,995/6314?
Given fractions are 597/13,995/6314
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 597/13,995/6314, numerators are 597,995
Denominators are 13,6314
The GCF of 597,995 is 199 .
LCM of 13,6314 is 82082.
The greatest common factor of 597/13,995/6314 = [GCF of 597,995]/[LCM of 13,6314]= 199/82082
Therefore, the GCF of 597/13,995/6314 is 199/82082.
To find the highest common factor of 597,995, we have to find the factors of both numbers and list the highest common factor.
The factors of 597 are 1, 3, 199, 597
The factors of 995 are 1, 5, 199, 995
The HCF of 597,995 is 199.
Lets's calculate GCF of 597,995
| 199 | 597, 995 |
| 3, 5 |
∴ So the GCF of the given numbers is 199 = 199
Greatest Common Factor of 597,995 By Matching Biggest Common Factor Method
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 995
:1,5,199,995
Greatest Common Factor
We found the factors 597,995 . The biggest common factor number is the GCF number.
So the greatest common factor 597,995 is 199.
Lets's calculate LCM of 13,6314
Given numbers has no common factors except 1. So, there LCM is their product i.e 82082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 199/82082
Therefore, the GCF of Fractions 597/13,995/6314 is 199/82082
Least Common Multiple of 13,6314 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 13,6314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,6314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,6314) x common factors =1 x 1 = 1
LCM(13,6314) = ( 13 × 6314 ) / 1
LCM(13,6314) = 82082 / 1
LCM(13,6314) = 82082
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FAQs on GCF of Fractions of 597/13, 995/6314
1. What is the HCF of 597,995?
The HCF of 597,995 is 199
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 597/13, 995/6314?
Answer: GCF of Numerators as per given numbers 597/13, 995/6314 is
GCF of Numerators i.e. for 597,995 is 199
LCM of denominators i.e. for 13,6314 is 82082.
Thus, GCF of Fractions is 199/82082.Finally, GCF of Fractions for 597/13, 995/6314 is 199/82082.