GCF of 8051/672, 9772/1635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8051/672, 9772/1635 i.e 1/366240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8051/672, 9772/1635.
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 8051/672,9772/1635?
Given fractions are 8051/672,9772/1635
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 8051/672,9772/1635, numerators are 8051,9772
Denominators are 672,1635
The GCF of 8051,9772 is 1 .
LCM of 672,1635 is 366240.
The greatest common factor of 8051/672,9772/1635 = [GCF of 8051,9772]/[LCM of 672,1635]= 1/366240
Therefore, the GCF of 8051/672,9772/1635 is 1/366240.
To find the highest common factor of 8051,9772, we have to find the factors of both numbers and list the highest common factor.
The factors of 8051 are 1, 83, 97, 8051
The factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772
The HCF of 8051,9772 is 1.
Lets's calculate GCF of 8051,9772
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8051,9772 By Matching Biggest Common Factor Method
Now, list down the factors of 8051
:1,83,97,8051
Now, list down the factors of 9772
:1,2,4,7,14,28,349,698,1396,2443,4886,9772
Greatest Common Factor
We found the factors 8051,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 8051,9772 is 1.
Lets's calculate LCM of 672,1635
| 3 | 672, 1635 |
| 224, 545 |
∴ So the LCM of the given numbers is 3 x 224 x 545 = 366240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366240
Therefore, the GCF of Fractions 8051/672,9772/1635 is 1/366240
Least Common Multiple of 672,1635 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 672,1635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,1635) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(672,1635) x common factors =3 x 1 = 3
LCM(672,1635) = ( 672 × 1635 ) / 3
LCM(672,1635) = 1098720 / 3
LCM(672,1635) = 366240
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FAQs on GCF of Fractions of 8051/672, 9772/1635
1. What is the HCF of 8051,9772?
The HCF of 8051,9772 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 8051/672, 9772/1635?
Answer: GCF of Numerators as per given numbers 8051/672, 9772/1635 is
GCF of Numerators i.e. for 8051,9772 is 1
LCM of denominators i.e. for 672,1635 is 366240.
Thus, GCF of Fractions is 1/366240.Finally, GCF of Fractions for 8051/672, 9772/1635 is 1/366240.