GCF of 5008/249, 9698/9306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5008/249, 9698/9306 i.e 2/772398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5008/249, 9698/9306.
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 5008/249,9698/9306?
Given fractions are 5008/249,9698/9306
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 5008/249,9698/9306, numerators are 5008,9698
Denominators are 249,9306
The GCF of 5008,9698 is 2 .
LCM of 249,9306 is 772398.
The greatest common factor of 5008/249,9698/9306 = [GCF of 5008,9698]/[LCM of 249,9306]= 2/772398
Therefore, the GCF of 5008/249,9698/9306 is 2/772398.
To find the highest common factor of 5008,9698, we have to find the factors of both numbers and list the highest common factor.
The factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008
The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The HCF of 5008,9698 is 2.
Lets's calculate GCF of 5008,9698
| 2 | 5008, 9698 |
| 2504, 4849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5008,9698 By Matching Biggest Common Factor Method
Now, list down the factors of 5008
:1,2,4,8,16,313,626,1252,2504,5008
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 5008,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 5008,9698 is 2.
Lets's calculate LCM of 249,9306
| 3 | 249, 9306 |
| 83, 3102 |
∴ So the LCM of the given numbers is 3 x 83 x 3102 = 772398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/772398
Therefore, the GCF of Fractions 5008/249,9698/9306 is 2/772398
Least Common Multiple of 249,9306 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 249,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,9306) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,9306) x common factors =3 x 1 = 3
LCM(249,9306) = ( 249 × 9306 ) / 3
LCM(249,9306) = 2317194 / 3
LCM(249,9306) = 772398
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FAQs on GCF of Fractions of 5008/249, 9698/9306
1. What is the HCF of 5008,9698?
The HCF of 5008,9698 is 2
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 5008/249, 9698/9306?
Answer: GCF of Numerators as per given numbers 5008/249, 9698/9306 is
GCF of Numerators i.e. for 5008,9698 is 2
LCM of denominators i.e. for 249,9306 is 772398.
Thus, GCF of Fractions is 2/772398.Finally, GCF of Fractions for 5008/249, 9698/9306 is 2/772398.