GCF of 1770/737, 9638/1016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/737, 9638/1016 i.e 2/748792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/737, 9638/1016.
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 1770/737,9638/1016?
Given fractions are 1770/737,9638/1016
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 1770/737,9638/1016, numerators are 1770,9638
Denominators are 737,1016
The GCF of 1770,9638 is 2 .
LCM of 737,1016 is 748792.
The greatest common factor of 1770/737,9638/1016 = [GCF of 1770,9638]/[LCM of 737,1016]= 2/748792
Therefore, the GCF of 1770/737,9638/1016 is 2/748792.
To find the highest common factor of 1770,9638, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638
The HCF of 1770,9638 is 2.
Lets's calculate GCF of 1770,9638
| 2 | 1770, 9638 |
| 885, 4819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1770,9638 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 9638
:1,2,61,79,122,158,4819,9638
Greatest Common Factor
We found the factors 1770,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,9638 is 2.
Lets's calculate LCM of 737,1016
Given numbers has no common factors except 1. So, there LCM is their product i.e 748792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/748792
Therefore, the GCF of Fractions 1770/737,9638/1016 is 2/748792
Least Common Multiple of 737,1016 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 737,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,1016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,1016) x common factors =1 x 1 = 1
LCM(737,1016) = ( 737 × 1016 ) / 1
LCM(737,1016) = 748792 / 1
LCM(737,1016) = 748792
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FAQs on GCF of Fractions of 1770/737, 9638/1016
1. What is the HCF of 1770,9638?
The HCF of 1770,9638 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 1770/737, 9638/1016?
Answer: GCF of Numerators as per given numbers 1770/737, 9638/1016 is
GCF of Numerators i.e. for 1770,9638 is 2
LCM of denominators i.e. for 737,1016 is 748792.
Thus, GCF of Fractions is 2/748792.Finally, GCF of Fractions for 1770/737, 9638/1016 is 2/748792.