GCF of 7440/491, 4078/4253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7440/491, 4078/4253 i.e 2/2088223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7440/491, 4078/4253.
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 7440/491,4078/4253?
Given fractions are 7440/491,4078/4253
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 7440/491,4078/4253, numerators are 7440,4078
Denominators are 491,4253
The GCF of 7440,4078 is 2 .
LCM of 491,4253 is 2088223.
The greatest common factor of 7440/491,4078/4253 = [GCF of 7440,4078]/[LCM of 491,4253]= 2/2088223
Therefore, the GCF of 7440/491,4078/4253 is 2/2088223.
To find the highest common factor of 7440,4078, we have to find the factors of both numbers and list the highest common factor.
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The factors of 4078 are 1, 2, 2039, 4078
The HCF of 7440,4078 is 2.
Lets's calculate GCF of 7440,4078
| 2 | 7440, 4078 |
| 3720, 2039 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7440,4078 By Matching Biggest Common Factor Method
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Now, list down the factors of 4078
:1,2,2039,4078
Greatest Common Factor
We found the factors 7440,4078 . The biggest common factor number is the GCF number.
So the greatest common factor 7440,4078 is 2.
Lets's calculate LCM of 491,4253
Given numbers has no common factors except 1. So, there LCM is their product i.e 2088223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2088223
Therefore, the GCF of Fractions 7440/491,4078/4253 is 2/2088223
Least Common Multiple of 491,4253 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 491,4253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,4253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,4253) x common factors =1 x 1 = 1
LCM(491,4253) = ( 491 × 4253 ) / 1
LCM(491,4253) = 2088223 / 1
LCM(491,4253) = 2088223
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FAQs on GCF of Fractions of 7440/491, 4078/4253
1. What is the HCF of 7440,4078?
The HCF of 7440,4078 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 7440/491, 4078/4253?
Answer: GCF of Numerators as per given numbers 7440/491, 4078/4253 is
GCF of Numerators i.e. for 7440,4078 is 2
LCM of denominators i.e. for 491,4253 is 2088223.
Thus, GCF of Fractions is 2/2088223.Finally, GCF of Fractions for 7440/491, 4078/4253 is 2/2088223.