GCF of 7077/335, 9807/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7077/335, 9807/952 i.e 21/318920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7077/335, 9807/952.
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 7077/335,9807/952?
Given fractions are 7077/335,9807/952
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 7077/335,9807/952, numerators are 7077,9807
Denominators are 335,952
The GCF of 7077,9807 is 21 .
LCM of 335,952 is 318920.
The greatest common factor of 7077/335,9807/952 = [GCF of 7077,9807]/[LCM of 335,952]= 21/318920
Therefore, the GCF of 7077/335,9807/952 is 21/318920.
To find the highest common factor of 7077,9807, we have to find the factors of both numbers and list the highest common factor.
The factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077
The factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807
The HCF of 7077,9807 is 21.
Lets's calculate GCF of 7077,9807
| 3 | 7077, 9807 |
| 7 | 2359, 3269 |
| 337, 467 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 7077,9807 By Matching Biggest Common Factor Method
Now, list down the factors of 7077
:1,3,7,21,337,1011,2359,7077
Now, list down the factors of 9807
:1,3,7,21,467,1401,3269,9807
Greatest Common Factor
We found the factors 7077,9807 . The biggest common factor number is the GCF number.
So the greatest common factor 7077,9807 is 21.
Lets's calculate LCM of 335,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 318920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/318920
Therefore, the GCF of Fractions 7077/335,9807/952 is 21/318920
Least Common Multiple of 335,952 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 335,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,952) x common factors =1 x 1 = 1
LCM(335,952) = ( 335 × 952 ) / 1
LCM(335,952) = 318920 / 1
LCM(335,952) = 318920
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FAQs on GCF of Fractions of 7077/335, 9807/952
1. What is the HCF of 7077,9807?
The HCF of 7077,9807 is 21
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 7077/335, 9807/952?
Answer: GCF of Numerators as per given numbers 7077/335, 9807/952 is
GCF of Numerators i.e. for 7077,9807 is 21
LCM of denominators i.e. for 335,952 is 318920.
Thus, GCF of Fractions is 21/318920.Finally, GCF of Fractions for 7077/335, 9807/952 is 21/318920.