GCF of 5250/725, 2414/2755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5250/725, 2414/2755 i.e 2/13775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5250/725, 2414/2755.
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 5250/725,2414/2755?
Given fractions are 5250/725,2414/2755
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 5250/725,2414/2755, numerators are 5250,2414
Denominators are 725,2755
The GCF of 5250,2414 is 2 .
LCM of 725,2755 is 13775.
The greatest common factor of 5250/725,2414/2755 = [GCF of 5250,2414]/[LCM of 725,2755]= 2/13775
Therefore, the GCF of 5250/725,2414/2755 is 2/13775.
To find the highest common factor of 5250,2414, we have to find the factors of both numbers and list the highest common factor.
The factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414
The HCF of 5250,2414 is 2.
Lets's calculate GCF of 5250,2414
| 2 | 5250, 2414 |
| 2625, 1207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5250,2414 By Matching Biggest Common Factor Method
Now, list down the factors of 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Now, list down the factors of 2414
:1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 5250,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 5250,2414 is 2.
Lets's calculate LCM of 725,2755
| 5 | 725, 2755 |
| 29 | 145, 551 |
| 5, 19 |
∴ So the LCM of the given numbers is 5 x 29 x 5 x 19 = 13775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13775
Therefore, the GCF of Fractions 5250/725,2414/2755 is 2/13775
Least Common Multiple of 725,2755 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 725,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,2755) = 145
common factors(in case of two or more numbers have common factors) = 1
GCF(725,2755) x common factors =145 x 1 = 145
LCM(725,2755) = ( 725 × 2755 ) / 145
LCM(725,2755) = 1997375 / 145
LCM(725,2755) = 13775
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FAQs on GCF of Fractions of 5250/725, 2414/2755
1. What is the HCF of 5250,2414?
The HCF of 5250,2414 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 5250/725, 2414/2755?
Answer: GCF of Numerators as per given numbers 5250/725, 2414/2755 is
GCF of Numerators i.e. for 5250,2414 is 2
LCM of denominators i.e. for 725,2755 is 13775.
Thus, GCF of Fractions is 2/13775.Finally, GCF of Fractions for 5250/725, 2414/2755 is 2/13775.