GCF of 295/147, 400/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 295/147, 400/322 i.e 5/6762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/147, 400/322.
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 295/147,400/322?
Given fractions are 295/147,400/322
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 295/147,400/322, numerators are 295,400
Denominators are 147,322
The GCF of 295,400 is 5 .
LCM of 147,322 is 6762.
The greatest common factor of 295/147,400/322 = [GCF of 295,400]/[LCM of 147,322]= 5/6762
Therefore, the GCF of 295/147,400/322 is 5/6762.
To find the highest common factor of 295,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 295 are 1, 5, 59, 295
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 295,400 is 5.
Lets's calculate GCF of 295,400
| 5 | 295, 400 |
| 59, 80 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 295,400 By Matching Biggest Common Factor Method
Now, list down the factors of 295
:1,5,59,295
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 295,400 . The biggest common factor number is the GCF number.
So the greatest common factor 295,400 is 5.
Lets's calculate LCM of 147,322
| 7 | 147, 322 |
| 21, 46 |
∴ So the LCM of the given numbers is 7 x 21 x 46 = 6762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6762
Therefore, the GCF of Fractions 295/147,400/322 is 5/6762
Least Common Multiple of 147,322 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 147,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,322) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(147,322) x common factors =7 x 1 = 7
LCM(147,322) = ( 147 × 322 ) / 7
LCM(147,322) = 47334 / 7
LCM(147,322) = 6762
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FAQs on GCF of Fractions of 295/147, 400/322
1. What is the HCF of 295,400?
The HCF of 295,400 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 295/147, 400/322?
Answer: GCF of Numerators as per given numbers 295/147, 400/322 is
GCF of Numerators i.e. for 295,400 is 5
LCM of denominators i.e. for 147,322 is 6762.
Thus, GCF of Fractions is 5/6762.Finally, GCF of Fractions for 295/147, 400/322 is 5/6762.