GCF of 7174/632, 5315/3680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7174/632, 5315/3680 i.e 1/290720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7174/632, 5315/3680.
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 7174/632,5315/3680?
Given fractions are 7174/632,5315/3680
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 7174/632,5315/3680, numerators are 7174,5315
Denominators are 632,3680
The GCF of 7174,5315 is 1 .
LCM of 632,3680 is 290720.
The greatest common factor of 7174/632,5315/3680 = [GCF of 7174,5315]/[LCM of 632,3680]= 1/290720
Therefore, the GCF of 7174/632,5315/3680 is 1/290720.
To find the highest common factor of 7174,5315, we have to find the factors of both numbers and list the highest common factor.
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The factors of 5315 are 1, 5, 1063, 5315
The HCF of 7174,5315 is 1.
Lets's calculate GCF of 7174,5315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7174,5315 By Matching Biggest Common Factor Method
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Now, list down the factors of 5315
:1,5,1063,5315
Greatest Common Factor
We found the factors 7174,5315 . The biggest common factor number is the GCF number.
So the greatest common factor 7174,5315 is 1.
Lets's calculate LCM of 632,3680
| 2 | 632, 3680 |
| 2 | 316, 1840 |
| 2 | 158, 920 |
| 79, 460 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 460 = 290720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290720
Therefore, the GCF of Fractions 7174/632,5315/3680 is 1/290720
Least Common Multiple of 632,3680 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 632,3680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,3680) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(632,3680) x common factors =8 x 1 = 8
LCM(632,3680) = ( 632 × 3680 ) / 8
LCM(632,3680) = 2325760 / 8
LCM(632,3680) = 290720
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FAQs on GCF of Fractions of 7174/632, 5315/3680
1. What is the HCF of 7174,5315?
The HCF of 7174,5315 is 1
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 7174/632, 5315/3680?
Answer: GCF of Numerators as per given numbers 7174/632, 5315/3680 is
GCF of Numerators i.e. for 7174,5315 is 1
LCM of denominators i.e. for 632,3680 is 290720.
Thus, GCF of Fractions is 1/290720.Finally, GCF of Fractions for 7174/632, 5315/3680 is 1/290720.