GCF of 7315/943, 7400/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7315/943, 7400/706 i.e 5/665758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7315/943, 7400/706.
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 7315/943,7400/706?
Given fractions are 7315/943,7400/706
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 7315/943,7400/706, numerators are 7315,7400
Denominators are 943,706
The GCF of 7315,7400 is 5 .
LCM of 943,706 is 665758.
The greatest common factor of 7315/943,7400/706 = [GCF of 7315,7400]/[LCM of 943,706]= 5/665758
Therefore, the GCF of 7315/943,7400/706 is 5/665758.
To find the highest common factor of 7315,7400, we have to find the factors of both numbers and list the highest common factor.
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The HCF of 7315,7400 is 5.
Lets's calculate GCF of 7315,7400
| 5 | 7315, 7400 |
| 1463, 1480 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7315,7400 By Matching Biggest Common Factor Method
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 7315,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,7400 is 5.
Lets's calculate LCM of 943,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 665758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/665758
Therefore, the GCF of Fractions 7315/943,7400/706 is 5/665758
Least Common Multiple of 943,706 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 943,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,706) x common factors =1 x 1 = 1
LCM(943,706) = ( 943 × 706 ) / 1
LCM(943,706) = 665758 / 1
LCM(943,706) = 665758
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FAQs on GCF of Fractions of 7315/943, 7400/706
1. What is the HCF of 7315,7400?
The HCF of 7315,7400 is 5
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 7315/943, 7400/706?
Answer: GCF of Numerators as per given numbers 7315/943, 7400/706 is
GCF of Numerators i.e. for 7315,7400 is 5
LCM of denominators i.e. for 943,706 is 665758.
Thus, GCF of Fractions is 5/665758.Finally, GCF of Fractions for 7315/943, 7400/706 is 5/665758.