GCF of 4020/532, 5250/6254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4020/532, 5250/6254 i.e 30/1663564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4020/532, 5250/6254.
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 4020/532,5250/6254?
Given fractions are 4020/532,5250/6254
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 4020/532,5250/6254, numerators are 4020,5250
Denominators are 532,6254
The GCF of 4020,5250 is 30 .
LCM of 532,6254 is 1663564.
The greatest common factor of 4020/532,5250/6254 = [GCF of 4020,5250]/[LCM of 532,6254]= 30/1663564
Therefore, the GCF of 4020/532,5250/6254 is 30/1663564.
To find the highest common factor of 4020,5250, we have to find the factors of both numbers and list the highest common factor.
The factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020
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 4020,5250 is 30.
Lets's calculate GCF of 4020,5250
| 2 | 4020, 5250 |
| 3 | 2010, 2625 |
| 5 | 670, 875 |
| 134, 175 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4020,5250 By Matching Biggest Common Factor Method
Now, list down the factors of 4020
:1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020
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 4020,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 4020,5250 is 30.
Lets's calculate LCM of 532,6254
| 2 | 532, 6254 |
| 266, 3127 |
∴ So the LCM of the given numbers is 2 x 266 x 3127 = 1663564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1663564
Therefore, the GCF of Fractions 4020/532,5250/6254 is 30/1663564
Least Common Multiple of 532,6254 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 532,6254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,6254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,6254) x common factors =2 x 1 = 2
LCM(532,6254) = ( 532 × 6254 ) / 2
LCM(532,6254) = 3327128 / 2
LCM(532,6254) = 1663564
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FAQs on GCF of Fractions of 4020/532, 5250/6254
1. What is the HCF of 4020,5250?
The HCF of 4020,5250 is 30
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 4020/532, 5250/6254?
Answer: GCF of Numerators as per given numbers 4020/532, 5250/6254 is
GCF of Numerators i.e. for 4020,5250 is 30
LCM of denominators i.e. for 532,6254 is 1663564.
Thus, GCF of Fractions is 30/1663564.Finally, GCF of Fractions for 4020/532, 5250/6254 is 30/1663564.