GCF of 9/56, 61/86, 87/654, 649/946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9/56, 61/86, 87/654, 649/946 i.e 1/8661576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/56, 61/86, 87/654, 649/946.
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 9/56,61/86,87/654,649/946?
Given fractions are 9/56,61/86,87/654,649/946
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 9/56,61/86,87/654,649/946, numerators are 9,61,87,649
Denominators are 56,86,654,946
The GCF of 9,61,87,649 is 1 .
LCM of 56,86,654,946 is 8661576.
The greatest common factor of 9/56,61/86,87/654,649/946 = [GCF of 9,61,87,649]/[LCM of 56,86,654,946]= 1/8661576
Therefore, the GCF of 9/56,61/86,87/654,649/946 is 1/8661576.
To find the highest common factor of 9,61,87,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 61 are 1, 61
The factors of 87 are 1, 3, 29, 87
The factors of 649 are 1, 11, 59, 649
The HCF of 9,61,87,649 is 1.
Lets's calculate GCF of 9,61,87,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9,61,87,649 By Matching Biggest Common Factor Method
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 61
:1,61
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 9,61,87,649 . The biggest common factor number is the GCF number.
So the greatest common factor 9,61,87,649 is 1.
Lets's calculate LCM of 56,86,654,946
| 2 | 56, 86, 654, 946 |
| 43 | 28, 43, 327, 473 |
| 28, 1, 327, 11 |
∴ So the LCM of the given numbers is 2 x 43 x 28 x 1 x 327 x 11 = 8661576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8661576
Therefore, the GCF of Fractions 9/56,61/86,87/654,649/946 is 1/8661576
Least Common Multiple of 56,86,654,946 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 56,86,654,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,86,654,946) = 2
common factors(in case of two or more numbers have common factors) = 172
GCF(56,86,654,946) x common factors =2 x 172 = 344
LCM(56,86,654,946) = ( 56 × 86 × 654 × 946 ) / 344
LCM(56,86,654,946) = 2979582144 / 344
LCM(56,86,654,946) = 8661576
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9/56, 61/86, 87/654, 649/946
1. What is the HCF of 9,61,87,649?
The HCF of 9,61,87,649 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 9/56, 61/86, 87/654, 649/946?
Answer: GCF of Numerators as per given numbers 9/56, 61/86, 87/654, 649/946 is
GCF of Numerators i.e. for 9,61,87,649 is 1
LCM of denominators i.e. for 56,86,654,946 is 8661576.
Thus, GCF of Fractions is 1/8661576.Finally, GCF of Fractions for 9/56, 61/86, 87/654, 649/946 is 1/8661576.