GCF of 9967/499, 7970/1202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9967/499, 7970/1202 i.e 1/599798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9967/499, 7970/1202.
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 9967/499,7970/1202?
Given fractions are 9967/499,7970/1202
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 9967/499,7970/1202, numerators are 9967,7970
Denominators are 499,1202
The GCF of 9967,7970 is 1 .
LCM of 499,1202 is 599798.
The greatest common factor of 9967/499,7970/1202 = [GCF of 9967,7970]/[LCM of 499,1202]= 1/599798
Therefore, the GCF of 9967/499,7970/1202 is 1/599798.
To find the highest common factor of 9967,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 9967 are 1, 9967
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 9967,7970 is 1.
Lets's calculate GCF of 9967,7970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9967,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 9967
:1,9967
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 9967,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 9967,7970 is 1.
Lets's calculate LCM of 499,1202
Given numbers has no common factors except 1. So, there LCM is their product i.e 599798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/599798
Therefore, the GCF of Fractions 9967/499,7970/1202 is 1/599798
Least Common Multiple of 499,1202 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 499,1202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,1202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,1202) x common factors =1 x 1 = 1
LCM(499,1202) = ( 499 × 1202 ) / 1
LCM(499,1202) = 599798 / 1
LCM(499,1202) = 599798
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FAQs on GCF of Fractions of 9967/499, 7970/1202
1. What is the HCF of 9967,7970?
The HCF of 9967,7970 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 9967/499, 7970/1202?
Answer: GCF of Numerators as per given numbers 9967/499, 7970/1202 is
GCF of Numerators i.e. for 9967,7970 is 1
LCM of denominators i.e. for 499,1202 is 599798.
Thus, GCF of Fractions is 1/599798.Finally, GCF of Fractions for 9967/499, 7970/1202 is 1/599798.