GCF of 9917/594, 7009/6990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9917/594, 7009/6990 i.e 1/692010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9917/594, 7009/6990.
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 9917/594,7009/6990?
Given fractions are 9917/594,7009/6990
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 9917/594,7009/6990, numerators are 9917,7009
Denominators are 594,6990
The GCF of 9917,7009 is 1 .
LCM of 594,6990 is 692010.
The greatest common factor of 9917/594,7009/6990 = [GCF of 9917,7009]/[LCM of 594,6990]= 1/692010
Therefore, the GCF of 9917/594,7009/6990 is 1/692010.
To find the highest common factor of 9917,7009, we have to find the factors of both numbers and list the highest common factor.
The factors of 9917 are 1, 47, 211, 9917
The factors of 7009 are 1, 43, 163, 7009
The HCF of 9917,7009 is 1.
Lets's calculate GCF of 9917,7009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9917,7009 By Matching Biggest Common Factor Method
Now, list down the factors of 9917
:1,47,211,9917
Now, list down the factors of 7009
:1,43,163,7009
Greatest Common Factor
We found the factors 9917,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 9917,7009 is 1.
Lets's calculate LCM of 594,6990
| 2 | 594, 6990 |
| 3 | 297, 3495 |
| 99, 1165 |
∴ So the LCM of the given numbers is 2 x 3 x 99 x 1165 = 692010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/692010
Therefore, the GCF of Fractions 9917/594,7009/6990 is 1/692010
Least Common Multiple of 594,6990 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 594,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,6990) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(594,6990) x common factors =6 x 1 = 6
LCM(594,6990) = ( 594 × 6990 ) / 6
LCM(594,6990) = 4152060 / 6
LCM(594,6990) = 692010
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FAQs on GCF of Fractions of 9917/594, 7009/6990
1. What is the HCF of 9917,7009?
The HCF of 9917,7009 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 9917/594, 7009/6990?
Answer: GCF of Numerators as per given numbers 9917/594, 7009/6990 is
GCF of Numerators i.e. for 9917,7009 is 1
LCM of denominators i.e. for 594,6990 is 692010.
Thus, GCF of Fractions is 1/692010.Finally, GCF of Fractions for 9917/594, 7009/6990 is 1/692010.