GCF of 1049/710, 6816/9265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1049/710, 6816/9265 i.e 1/1315630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1049/710, 6816/9265.
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 1049/710,6816/9265?
Given fractions are 1049/710,6816/9265
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 1049/710,6816/9265, numerators are 1049,6816
Denominators are 710,9265
The GCF of 1049,6816 is 1 .
LCM of 710,9265 is 1315630.
The greatest common factor of 1049/710,6816/9265 = [GCF of 1049,6816]/[LCM of 710,9265]= 1/1315630
Therefore, the GCF of 1049/710,6816/9265 is 1/1315630.
To find the highest common factor of 1049,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 1049 are 1, 1049
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 1049,6816 is 1.
Lets's calculate GCF of 1049,6816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1049,6816 By Matching Biggest Common Factor Method
Now, list down the factors of 1049
:1,1049
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 1049,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 1049,6816 is 1.
Lets's calculate LCM of 710,9265
| 5 | 710, 9265 |
| 142, 1853 |
∴ So the LCM of the given numbers is 5 x 142 x 1853 = 1315630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1315630
Therefore, the GCF of Fractions 1049/710,6816/9265 is 1/1315630
Least Common Multiple of 710,9265 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 710,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,9265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(710,9265) x common factors =5 x 1 = 5
LCM(710,9265) = ( 710 × 9265 ) / 5
LCM(710,9265) = 6578150 / 5
LCM(710,9265) = 1315630
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FAQs on GCF of Fractions of 1049/710, 6816/9265
1. What is the HCF of 1049,6816?
The HCF of 1049,6816 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 1049/710, 6816/9265?
Answer: GCF of Numerators as per given numbers 1049/710, 6816/9265 is
GCF of Numerators i.e. for 1049,6816 is 1
LCM of denominators i.e. for 710,9265 is 1315630.
Thus, GCF of Fractions is 1/1315630.Finally, GCF of Fractions for 1049/710, 6816/9265 is 1/1315630.