GCF of 9974/307, 1798/5635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9974/307, 1798/5635 i.e 2/1729945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9974/307, 1798/5635.
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 9974/307,1798/5635?
Given fractions are 9974/307,1798/5635
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 9974/307,1798/5635, numerators are 9974,1798
Denominators are 307,5635
The GCF of 9974,1798 is 2 .
LCM of 307,5635 is 1729945.
The greatest common factor of 9974/307,1798/5635 = [GCF of 9974,1798]/[LCM of 307,5635]= 2/1729945
Therefore, the GCF of 9974/307,1798/5635 is 2/1729945.
To find the highest common factor of 9974,1798, we have to find the factors of both numbers and list the highest common factor.
The factors of 9974 are 1, 2, 4987, 9974
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The HCF of 9974,1798 is 2.
Lets's calculate GCF of 9974,1798
| 2 | 9974, 1798 |
| 4987, 899 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9974,1798 By Matching Biggest Common Factor Method
Now, list down the factors of 9974
:1,2,4987,9974
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Greatest Common Factor
We found the factors 9974,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 9974,1798 is 2.
Lets's calculate LCM of 307,5635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1729945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1729945
Therefore, the GCF of Fractions 9974/307,1798/5635 is 2/1729945
Least Common Multiple of 307,5635 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 307,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5635) x common factors =1 x 1 = 1
LCM(307,5635) = ( 307 × 5635 ) / 1
LCM(307,5635) = 1729945 / 1
LCM(307,5635) = 1729945
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FAQs on GCF of Fractions of 9974/307, 1798/5635
1. What is the HCF of 9974,1798?
The HCF of 9974,1798 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 9974/307, 1798/5635?
Answer: GCF of Numerators as per given numbers 9974/307, 1798/5635 is
GCF of Numerators i.e. for 9974,1798 is 2
LCM of denominators i.e. for 307,5635 is 1729945.
Thus, GCF of Fractions is 2/1729945.Finally, GCF of Fractions for 9974/307, 1798/5635 is 2/1729945.