GCF of 826/217, 990/153, 444/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 826/217, 990/153, 444/695 i.e 2/23074695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/217, 990/153, 444/695.
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 826/217,990/153,444/695?
Given fractions are 826/217,990/153,444/695
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 826/217,990/153,444/695, numerators are 826,990,444
Denominators are 217,153,695
The GCF of 826,990,444 is 2 .
LCM of 217,153,695 is 23074695.
The greatest common factor of 826/217,990/153,444/695 = [GCF of 826,990,444]/[LCM of 217,153,695]= 2/23074695
Therefore, the GCF of 826/217,990/153,444/695 is 2/23074695.
To find the highest common factor of 826,990,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 826,990,444 is 2.
Lets's calculate GCF of 826,990,444
| 2 | 826, 990, 444 |
| 413, 495, 222 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 826,990,444 By Matching Biggest Common Factor Method
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 826,990,444 . The biggest common factor number is the GCF number.
So the greatest common factor 826,990,444 is 2.
Lets's calculate LCM of 217,153,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 23074695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23074695
Therefore, the GCF of Fractions 826/217,990/153,444/695 is 2/23074695
Least Common Multiple of 217,153,695 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 217,153,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,153,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,153,695) x common factors =1 x 1 = 1
LCM(217,153,695) = ( 217 × 153 × 695 ) / 1
LCM(217,153,695) = 23074695 / 1
LCM(217,153,695) = 23074695
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FAQs on GCF of Fractions of 826/217, 990/153, 444/695
1. What is the HCF of 826,990,444?
The HCF of 826,990,444 is 2
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 826/217, 990/153, 444/695?
Answer: GCF of Numerators as per given numbers 826/217, 990/153, 444/695 is
GCF of Numerators i.e. for 826,990,444 is 2
LCM of denominators i.e. for 217,153,695 is 23074695.
Thus, GCF of Fractions is 2/23074695.Finally, GCF of Fractions for 826/217, 990/153, 444/695 is 2/23074695.