GCF of 9028/319, 7410/1260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9028/319, 7410/1260 i.e 2/401940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9028/319, 7410/1260.
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 9028/319,7410/1260?
Given fractions are 9028/319,7410/1260
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 9028/319,7410/1260, numerators are 9028,7410
Denominators are 319,1260
The GCF of 9028,7410 is 2 .
LCM of 319,1260 is 401940.
The greatest common factor of 9028/319,7410/1260 = [GCF of 9028,7410]/[LCM of 319,1260]= 2/401940
Therefore, the GCF of 9028/319,7410/1260 is 2/401940.
To find the highest common factor of 9028,7410, we have to find the factors of both numbers and list the highest common factor.
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410
The HCF of 9028,7410 is 2.
Lets's calculate GCF of 9028,7410
| 2 | 9028, 7410 |
| 4514, 3705 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9028,7410 By Matching Biggest Common Factor Method
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Now, list down the factors of 7410
:1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 9028,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 9028,7410 is 2.
Lets's calculate LCM of 319,1260
Given numbers has no common factors except 1. So, there LCM is their product i.e 401940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/401940
Therefore, the GCF of Fractions 9028/319,7410/1260 is 2/401940
Least Common Multiple of 319,1260 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 319,1260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,1260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,1260) x common factors =1 x 1 = 1
LCM(319,1260) = ( 319 × 1260 ) / 1
LCM(319,1260) = 401940 / 1
LCM(319,1260) = 401940
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FAQs on GCF of Fractions of 9028/319, 7410/1260
1. What is the HCF of 9028,7410?
The HCF of 9028,7410 is 2
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 9028/319, 7410/1260?
Answer: GCF of Numerators as per given numbers 9028/319, 7410/1260 is
GCF of Numerators i.e. for 9028,7410 is 2
LCM of denominators i.e. for 319,1260 is 401940.
Thus, GCF of Fractions is 2/401940.Finally, GCF of Fractions for 9028/319, 7410/1260 is 2/401940.