GCF of 3724/206, 5180/1536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3724/206, 5180/1536 i.e 28/158208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3724/206, 5180/1536.
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 3724/206,5180/1536?
Given fractions are 3724/206,5180/1536
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 3724/206,5180/1536, numerators are 3724,5180
Denominators are 206,1536
The GCF of 3724,5180 is 28 .
LCM of 206,1536 is 158208.
The greatest common factor of 3724/206,5180/1536 = [GCF of 3724,5180]/[LCM of 206,1536]= 28/158208
Therefore, the GCF of 3724/206,5180/1536 is 28/158208.
To find the highest common factor of 3724,5180, 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 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180
The HCF of 3724,5180 is 28.
Lets's calculate GCF of 3724,5180
| 2 | 3724, 5180 |
| 2 | 1862, 2590 |
| 7 | 931, 1295 |
| 133, 185 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 3724,5180 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 5180
:1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Greatest Common Factor
We found the factors 3724,5180 . The biggest common factor number is the GCF number.
So the greatest common factor 3724,5180 is 28.
Lets's calculate LCM of 206,1536
| 2 | 206, 1536 |
| 103, 768 |
∴ So the LCM of the given numbers is 2 x 103 x 768 = 158208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/158208
Therefore, the GCF of Fractions 3724/206,5180/1536 is 28/158208
Least Common Multiple of 206,1536 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 206,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,1536) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,1536) x common factors =2 x 1 = 2
LCM(206,1536) = ( 206 × 1536 ) / 2
LCM(206,1536) = 316416 / 2
LCM(206,1536) = 158208
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FAQs on GCF of Fractions of 3724/206, 5180/1536
1. What is the HCF of 3724,5180?
The HCF of 3724,5180 is 28
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 3724/206, 5180/1536?
Answer: GCF of Numerators as per given numbers 3724/206, 5180/1536 is
GCF of Numerators i.e. for 3724,5180 is 28
LCM of denominators i.e. for 206,1536 is 158208.
Thus, GCF of Fractions is 28/158208.Finally, GCF of Fractions for 3724/206, 5180/1536 is 28/158208.