GCF of 9802/217, 2519/7302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9802/217, 2519/7302 i.e 1/1584534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9802/217, 2519/7302.
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 9802/217,2519/7302?
Given fractions are 9802/217,2519/7302
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 9802/217,2519/7302, numerators are 9802,2519
Denominators are 217,7302
The GCF of 9802,2519 is 1 .
LCM of 217,7302 is 1584534.
The greatest common factor of 9802/217,2519/7302 = [GCF of 9802,2519]/[LCM of 217,7302]= 1/1584534
Therefore, the GCF of 9802/217,2519/7302 is 1/1584534.
To find the highest common factor of 9802,2519, we have to find the factors of both numbers and list the highest common factor.
The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802
The factors of 2519 are 1, 11, 229, 2519
The HCF of 9802,2519 is 1.
Lets's calculate GCF of 9802,2519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9802,2519 By Matching Biggest Common Factor Method
Now, list down the factors of 9802
:1,2,13,26,29,58,169,338,377,754,4901,9802
Now, list down the factors of 2519
:1,11,229,2519
Greatest Common Factor
We found the factors 9802,2519 . The biggest common factor number is the GCF number.
So the greatest common factor 9802,2519 is 1.
Lets's calculate LCM of 217,7302
Given numbers has no common factors except 1. So, there LCM is their product i.e 1584534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584534
Therefore, the GCF of Fractions 9802/217,2519/7302 is 1/1584534
Least Common Multiple of 217,7302 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 217,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,7302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,7302) x common factors =1 x 1 = 1
LCM(217,7302) = ( 217 × 7302 ) / 1
LCM(217,7302) = 1584534 / 1
LCM(217,7302) = 1584534
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FAQs on GCF of Fractions of 9802/217, 2519/7302
1. What is the HCF of 9802,2519?
The HCF of 9802,2519 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 9802/217, 2519/7302?
Answer: GCF of Numerators as per given numbers 9802/217, 2519/7302 is
GCF of Numerators i.e. for 9802,2519 is 1
LCM of denominators i.e. for 217,7302 is 1584534.
Thus, GCF of Fractions is 1/1584534.Finally, GCF of Fractions for 9802/217, 2519/7302 is 1/1584534.