GCF of 6280/147, 5932/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6280/147, 5932/819 i.e 4/5733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6280/147, 5932/819.
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 6280/147,5932/819?
Given fractions are 6280/147,5932/819
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 6280/147,5932/819, numerators are 6280,5932
Denominators are 147,819
The GCF of 6280,5932 is 4 .
LCM of 147,819 is 5733.
The greatest common factor of 6280/147,5932/819 = [GCF of 6280,5932]/[LCM of 147,819]= 4/5733
Therefore, the GCF of 6280/147,5932/819 is 4/5733.
To find the highest common factor of 6280,5932, we have to find the factors of both numbers and list the highest common factor.
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The factors of 5932 are 1, 2, 4, 1483, 2966, 5932
The HCF of 6280,5932 is 4.
Lets's calculate GCF of 6280,5932
| 2 | 6280, 5932 |
| 2 | 3140, 2966 |
| 1570, 1483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6280,5932 By Matching Biggest Common Factor Method
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Now, list down the factors of 5932
:1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors 6280,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 6280,5932 is 4.
Lets's calculate LCM of 147,819
| 3 | 147, 819 |
| 7 | 49, 273 |
| 7, 39 |
∴ So the LCM of the given numbers is 3 x 7 x 7 x 39 = 5733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5733
Therefore, the GCF of Fractions 6280/147,5932/819 is 4/5733
Least Common Multiple of 147,819 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 147,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,819) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(147,819) x common factors =21 x 1 = 21
LCM(147,819) = ( 147 × 819 ) / 21
LCM(147,819) = 120393 / 21
LCM(147,819) = 5733
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FAQs on GCF of Fractions of 6280/147, 5932/819
1. What is the HCF of 6280,5932?
The HCF of 6280,5932 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 6280/147, 5932/819?
Answer: GCF of Numerators as per given numbers 6280/147, 5932/819 is
GCF of Numerators i.e. for 6280,5932 is 4
LCM of denominators i.e. for 147,819 is 5733.
Thus, GCF of Fractions is 4/5733.Finally, GCF of Fractions for 6280/147, 5932/819 is 4/5733.