GCF of 1711/514, 8840/1228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1711/514, 8840/1228 i.e 1/315596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1711/514, 8840/1228.
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 1711/514,8840/1228?
Given fractions are 1711/514,8840/1228
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 1711/514,8840/1228, numerators are 1711,8840
Denominators are 514,1228
The GCF of 1711,8840 is 1 .
LCM of 514,1228 is 315596.
The greatest common factor of 1711/514,8840/1228 = [GCF of 1711,8840]/[LCM of 514,1228]= 1/315596
Therefore, the GCF of 1711/514,8840/1228 is 1/315596.
To find the highest common factor of 1711,8840, we have to find the factors of both numbers and list the highest common factor.
The factors of 1711 are 1, 29, 59, 1711
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The HCF of 1711,8840 is 1.
Lets's calculate GCF of 1711,8840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1711,8840 By Matching Biggest Common Factor Method
Now, list down the factors of 1711
:1,29,59,1711
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Greatest Common Factor
We found the factors 1711,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 1711,8840 is 1.
Lets's calculate LCM of 514,1228
| 2 | 514, 1228 |
| 257, 614 |
∴ So the LCM of the given numbers is 2 x 257 x 614 = 315596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315596
Therefore, the GCF of Fractions 1711/514,8840/1228 is 1/315596
Least Common Multiple of 514,1228 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 514,1228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,1228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,1228) x common factors =2 x 1 = 2
LCM(514,1228) = ( 514 × 1228 ) / 2
LCM(514,1228) = 631192 / 2
LCM(514,1228) = 315596
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FAQs on GCF of Fractions of 1711/514, 8840/1228
1. What is the HCF of 1711,8840?
The HCF of 1711,8840 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 1711/514, 8840/1228?
Answer: GCF of Numerators as per given numbers 1711/514, 8840/1228 is
GCF of Numerators i.e. for 1711,8840 is 1
LCM of denominators i.e. for 514,1228 is 315596.
Thus, GCF of Fractions is 1/315596.Finally, GCF of Fractions for 1711/514, 8840/1228 is 1/315596.