GCF of 976/465, 2380/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/465, 2380/403 i.e 4/6045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/465, 2380/403.
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 976/465,2380/403?
Given fractions are 976/465,2380/403
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 976/465,2380/403, numerators are 976,2380
Denominators are 465,403
The GCF of 976,2380 is 4 .
LCM of 465,403 is 6045.
The greatest common factor of 976/465,2380/403 = [GCF of 976,2380]/[LCM of 465,403]= 4/6045
Therefore, the GCF of 976/465,2380/403 is 4/6045.
To find the highest common factor of 976,2380, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380
The HCF of 976,2380 is 4.
Lets's calculate GCF of 976,2380
| 2 | 976, 2380 |
| 2 | 488, 1190 |
| 244, 595 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 976,2380 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 2380
:1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380
Greatest Common Factor
We found the factors 976,2380 . The biggest common factor number is the GCF number.
So the greatest common factor 976,2380 is 4.
Lets's calculate LCM of 465,403
| 31 | 465, 403 |
| 15, 13 |
∴ So the LCM of the given numbers is 31 x 15 x 13 = 6045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6045
Therefore, the GCF of Fractions 976/465,2380/403 is 4/6045
Least Common Multiple of 465,403 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 465,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,403) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(465,403) x common factors =31 x 1 = 31
LCM(465,403) = ( 465 × 403 ) / 31
LCM(465,403) = 187395 / 31
LCM(465,403) = 6045
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FAQs on GCF of Fractions of 976/465, 2380/403
1. What is the HCF of 976,2380?
The HCF of 976,2380 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 976/465, 2380/403?
Answer: GCF of Numerators as per given numbers 976/465, 2380/403 is
GCF of Numerators i.e. for 976,2380 is 4
LCM of denominators i.e. for 465,403 is 6045.
Thus, GCF of Fractions is 4/6045.Finally, GCF of Fractions for 976/465, 2380/403 is 4/6045.