GCF of 3724/925, 6420/2120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3724/925, 6420/2120 i.e 4/392200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3724/925, 6420/2120.
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 3724/925,6420/2120?
Given fractions are 3724/925,6420/2120
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 3724/925,6420/2120, numerators are 3724,6420
Denominators are 925,2120
The GCF of 3724,6420 is 4 .
LCM of 925,2120 is 392200.
The greatest common factor of 3724/925,6420/2120 = [GCF of 3724,6420]/[LCM of 925,2120]= 4/392200
Therefore, the GCF of 3724/925,6420/2120 is 4/392200.
To find the highest common factor of 3724,6420, we have to find the factors of both numbers and list the highest common factor.
The factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724
The factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420
The HCF of 3724,6420 is 4.
Lets's calculate GCF of 3724,6420
| 2 | 3724, 6420 |
| 2 | 1862, 3210 |
| 931, 1605 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3724,6420 By Matching Biggest Common Factor Method
Now, list down the factors of 3724
:1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Now, list down the factors of 6420
:1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Greatest Common Factor
We found the factors 3724,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 3724,6420 is 4.
Lets's calculate LCM of 925,2120
| 5 | 925, 2120 |
| 185, 424 |
∴ So the LCM of the given numbers is 5 x 185 x 424 = 392200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/392200
Therefore, the GCF of Fractions 3724/925,6420/2120 is 4/392200
Least Common Multiple of 925,2120 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 925,2120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,2120) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(925,2120) x common factors =5 x 1 = 5
LCM(925,2120) = ( 925 × 2120 ) / 5
LCM(925,2120) = 1961000 / 5
LCM(925,2120) = 392200
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FAQs on GCF of Fractions of 3724/925, 6420/2120
1. What is the HCF of 3724,6420?
The HCF of 3724,6420 is 4
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 3724/925, 6420/2120?
Answer: GCF of Numerators as per given numbers 3724/925, 6420/2120 is
GCF of Numerators i.e. for 3724,6420 is 4
LCM of denominators i.e. for 925,2120 is 392200.
Thus, GCF of Fractions is 4/392200.Finally, GCF of Fractions for 3724/925, 6420/2120 is 4/392200.