GCF of 295/886, 440/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 295/886, 440/648 i.e 5/287064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/886, 440/648.
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 295/886,440/648?
Given fractions are 295/886,440/648
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 295/886,440/648, numerators are 295,440
Denominators are 886,648
The GCF of 295,440 is 5 .
LCM of 886,648 is 287064.
The greatest common factor of 295/886,440/648 = [GCF of 295,440]/[LCM of 886,648]= 5/287064
Therefore, the GCF of 295/886,440/648 is 5/287064.
To find the highest common factor of 295,440, 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 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The HCF of 295,440 is 5.
Lets's calculate GCF of 295,440
| 5 | 295, 440 |
| 59, 88 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 295,440 By Matching Biggest Common Factor Method
Now, list down the factors of 295
:1,5,59,295
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 295,440 . The biggest common factor number is the GCF number.
So the greatest common factor 295,440 is 5.
Lets's calculate LCM of 886,648
| 2 | 886, 648 |
| 443, 324 |
∴ So the LCM of the given numbers is 2 x 443 x 324 = 287064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/287064
Therefore, the GCF of Fractions 295/886,440/648 is 5/287064
Least Common Multiple of 886,648 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 886,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,648) x common factors =2 x 1 = 2
LCM(886,648) = ( 886 × 648 ) / 2
LCM(886,648) = 574128 / 2
LCM(886,648) = 287064
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FAQs on GCF of Fractions of 295/886, 440/648
1. What is the HCF of 295,440?
The HCF of 295,440 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 295/886, 440/648?
Answer: GCF of Numerators as per given numbers 295/886, 440/648 is
GCF of Numerators i.e. for 295,440 is 5
LCM of denominators i.e. for 886,648 is 287064.
Thus, GCF of Fractions is 5/287064.Finally, GCF of Fractions for 295/886, 440/648 is 5/287064.