GCF of 4265/724, 5250/2638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4265/724, 5250/2638 i.e 5/954956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4265/724, 5250/2638.
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 4265/724,5250/2638?
Given fractions are 4265/724,5250/2638
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 4265/724,5250/2638, numerators are 4265,5250
Denominators are 724,2638
The GCF of 4265,5250 is 5 .
LCM of 724,2638 is 954956.
The greatest common factor of 4265/724,5250/2638 = [GCF of 4265,5250]/[LCM of 724,2638]= 5/954956
Therefore, the GCF of 4265/724,5250/2638 is 5/954956.
To find the highest common factor of 4265,5250, we have to find the factors of both numbers and list the highest common factor.
The factors of 4265 are 1, 5, 853, 4265
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 HCF of 4265,5250 is 5.
Lets's calculate GCF of 4265,5250
| 5 | 4265, 5250 |
| 853, 1050 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4265,5250 By Matching Biggest Common Factor Method
Now, list down the factors of 4265
:1,5,853,4265
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
Greatest Common Factor
We found the factors 4265,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 4265,5250 is 5.
Lets's calculate LCM of 724,2638
| 2 | 724, 2638 |
| 362, 1319 |
∴ So the LCM of the given numbers is 2 x 362 x 1319 = 954956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/954956
Therefore, the GCF of Fractions 4265/724,5250/2638 is 5/954956
Least Common Multiple of 724,2638 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 724,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,2638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,2638) x common factors =2 x 1 = 2
LCM(724,2638) = ( 724 × 2638 ) / 2
LCM(724,2638) = 1909912 / 2
LCM(724,2638) = 954956
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FAQs on GCF of Fractions of 4265/724, 5250/2638
1. What is the HCF of 4265,5250?
The HCF of 4265,5250 is 5
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 4265/724, 5250/2638?
Answer: GCF of Numerators as per given numbers 4265/724, 5250/2638 is
GCF of Numerators i.e. for 4265,5250 is 5
LCM of denominators i.e. for 724,2638 is 954956.
Thus, GCF of Fractions is 5/954956.Finally, GCF of Fractions for 4265/724, 5250/2638 is 5/954956.