GCF of 9906/542, 7677/6573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9906/542, 7677/6573 i.e 3/3562566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9906/542, 7677/6573.
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 9906/542,7677/6573?
Given fractions are 9906/542,7677/6573
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 9906/542,7677/6573, numerators are 9906,7677
Denominators are 542,6573
The GCF of 9906,7677 is 3 .
LCM of 542,6573 is 3562566.
The greatest common factor of 9906/542,7677/6573 = [GCF of 9906,7677]/[LCM of 542,6573]= 3/3562566
Therefore, the GCF of 9906/542,7677/6573 is 3/3562566.
To find the highest common factor of 9906,7677, we have to find the factors of both numbers and list the highest common factor.
The factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The HCF of 9906,7677 is 3.
Lets's calculate GCF of 9906,7677
| 3 | 9906, 7677 |
| 3302, 2559 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9906,7677 By Matching Biggest Common Factor Method
Now, list down the factors of 9906
:1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Greatest Common Factor
We found the factors 9906,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 9906,7677 is 3.
Lets's calculate LCM of 542,6573
Given numbers has no common factors except 1. So, there LCM is their product i.e 3562566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3562566
Therefore, the GCF of Fractions 9906/542,7677/6573 is 3/3562566
Least Common Multiple of 542,6573 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 542,6573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,6573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,6573) x common factors =1 x 1 = 1
LCM(542,6573) = ( 542 × 6573 ) / 1
LCM(542,6573) = 3562566 / 1
LCM(542,6573) = 3562566
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FAQs on GCF of Fractions of 9906/542, 7677/6573
1. What is the HCF of 9906,7677?
The HCF of 9906,7677 is 3
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 9906/542, 7677/6573?
Answer: GCF of Numerators as per given numbers 9906/542, 7677/6573 is
GCF of Numerators i.e. for 9906,7677 is 3
LCM of denominators i.e. for 542,6573 is 3562566.
Thus, GCF of Fractions is 3/3562566.Finally, GCF of Fractions for 9906/542, 7677/6573 is 3/3562566.