GCF of 347/138, 7280/9032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 347/138, 7280/9032 i.e 1/623208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/138, 7280/9032.
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 347/138,7280/9032?
Given fractions are 347/138,7280/9032
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 347/138,7280/9032, numerators are 347,7280
Denominators are 138,9032
The GCF of 347,7280 is 1 .
LCM of 138,9032 is 623208.
The greatest common factor of 347/138,7280/9032 = [GCF of 347,7280]/[LCM of 138,9032]= 1/623208
Therefore, the GCF of 347/138,7280/9032 is 1/623208.
To find the highest common factor of 347,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 347 are 1, 347
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 347,7280 is 1.
Lets's calculate GCF of 347,7280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 347,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 347
:1,347
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 347,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 347,7280 is 1.
Lets's calculate LCM of 138,9032
| 2 | 138, 9032 |
| 69, 4516 |
∴ So the LCM of the given numbers is 2 x 69 x 4516 = 623208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623208
Therefore, the GCF of Fractions 347/138,7280/9032 is 1/623208
Least Common Multiple of 138,9032 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 138,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,9032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,9032) x common factors =2 x 1 = 2
LCM(138,9032) = ( 138 × 9032 ) / 2
LCM(138,9032) = 1246416 / 2
LCM(138,9032) = 623208
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FAQs on GCF of Fractions of 347/138, 7280/9032
1. What is the HCF of 347,7280?
The HCF of 347,7280 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 347/138, 7280/9032?
Answer: GCF of Numerators as per given numbers 347/138, 7280/9032 is
GCF of Numerators i.e. for 347,7280 is 1
LCM of denominators i.e. for 138,9032 is 623208.
Thus, GCF of Fractions is 1/623208.Finally, GCF of Fractions for 347/138, 7280/9032 is 1/623208.