GCF of 2693/249, 2720/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2693/249, 2720/351 i.e 1/29133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2693/249, 2720/351.
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 2693/249,2720/351?
Given fractions are 2693/249,2720/351
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 2693/249,2720/351, numerators are 2693,2720
Denominators are 249,351
The GCF of 2693,2720 is 1 .
LCM of 249,351 is 29133.
The greatest common factor of 2693/249,2720/351 = [GCF of 2693,2720]/[LCM of 249,351]= 1/29133
Therefore, the GCF of 2693/249,2720/351 is 1/29133.
To find the highest common factor of 2693,2720, we have to find the factors of both numbers and list the highest common factor.
The factors of 2693 are 1, 2693
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The HCF of 2693,2720 is 1.
Lets's calculate GCF of 2693,2720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2693,2720 By Matching Biggest Common Factor Method
Now, list down the factors of 2693
:1,2693
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Greatest Common Factor
We found the factors 2693,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 2693,2720 is 1.
Lets's calculate LCM of 249,351
| 3 | 249, 351 |
| 83, 117 |
∴ So the LCM of the given numbers is 3 x 83 x 117 = 29133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29133
Therefore, the GCF of Fractions 2693/249,2720/351 is 1/29133
Least Common Multiple of 249,351 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 249,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,351) x common factors =3 x 1 = 3
LCM(249,351) = ( 249 × 351 ) / 3
LCM(249,351) = 87399 / 3
LCM(249,351) = 29133
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FAQs on GCF of Fractions of 2693/249, 2720/351
1. What is the HCF of 2693,2720?
The HCF of 2693,2720 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 2693/249, 2720/351?
Answer: GCF of Numerators as per given numbers 2693/249, 2720/351 is
GCF of Numerators i.e. for 2693,2720 is 1
LCM of denominators i.e. for 249,351 is 29133.
Thus, GCF of Fractions is 1/29133.Finally, GCF of Fractions for 2693/249, 2720/351 is 1/29133.