GCF of 6517/249, 1813/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6517/249, 1813/269 i.e 49/66981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6517/249, 1813/269.
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 6517/249,1813/269?
Given fractions are 6517/249,1813/269
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 6517/249,1813/269, numerators are 6517,1813
Denominators are 249,269
The GCF of 6517,1813 is 49 .
LCM of 249,269 is 66981.
The greatest common factor of 6517/249,1813/269 = [GCF of 6517,1813]/[LCM of 249,269]= 49/66981
Therefore, the GCF of 6517/249,1813/269 is 49/66981.
To find the highest common factor of 6517,1813, we have to find the factors of both numbers and list the highest common factor.
The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517
The factors of 1813 are 1, 7, 37, 49, 259, 1813
The HCF of 6517,1813 is 49.
Lets's calculate GCF of 6517,1813
| 7 | 6517, 1813 |
| 7 | 931, 259 |
| 133, 37 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 6517,1813 By Matching Biggest Common Factor Method
Now, list down the factors of 6517
:1,7,19,49,133,343,931,6517
Now, list down the factors of 1813
:1,7,37,49,259,1813
Greatest Common Factor
We found the factors 6517,1813 . The biggest common factor number is the GCF number.
So the greatest common factor 6517,1813 is 49.
Lets's calculate LCM of 249,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 66981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/66981
Therefore, the GCF of Fractions 6517/249,1813/269 is 49/66981
Least Common Multiple of 249,269 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 249,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,269) x common factors =1 x 1 = 1
LCM(249,269) = ( 249 × 269 ) / 1
LCM(249,269) = 66981 / 1
LCM(249,269) = 66981
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FAQs on GCF of Fractions of 6517/249, 1813/269
1. What is the HCF of 6517,1813?
The HCF of 6517,1813 is 49
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 6517/249, 1813/269?
Answer: GCF of Numerators as per given numbers 6517/249, 1813/269 is
GCF of Numerators i.e. for 6517,1813 is 49
LCM of denominators i.e. for 249,269 is 66981.
Thus, GCF of Fractions is 49/66981.Finally, GCF of Fractions for 6517/249, 1813/269 is 49/66981.