GCF of 9895/402, 1770/739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9895/402, 1770/739 i.e 5/297078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9895/402, 1770/739.
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 9895/402,1770/739?
Given fractions are 9895/402,1770/739
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 9895/402,1770/739, numerators are 9895,1770
Denominators are 402,739
The GCF of 9895,1770 is 5 .
LCM of 402,739 is 297078.
The greatest common factor of 9895/402,1770/739 = [GCF of 9895,1770]/[LCM of 402,739]= 5/297078
Therefore, the GCF of 9895/402,1770/739 is 5/297078.
To find the highest common factor of 9895,1770, we have to find the factors of both numbers and list the highest common factor.
The factors of 9895 are 1, 5, 1979, 9895
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The HCF of 9895,1770 is 5.
Lets's calculate GCF of 9895,1770
| 5 | 9895, 1770 |
| 1979, 354 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9895,1770 By Matching Biggest Common Factor Method
Now, list down the factors of 9895
:1,5,1979,9895
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Greatest Common Factor
We found the factors 9895,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 9895,1770 is 5.
Lets's calculate LCM of 402,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 297078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/297078
Therefore, the GCF of Fractions 9895/402,1770/739 is 5/297078
Least Common Multiple of 402,739 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 402,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,739) x common factors =1 x 1 = 1
LCM(402,739) = ( 402 × 739 ) / 1
LCM(402,739) = 297078 / 1
LCM(402,739) = 297078
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FAQs on GCF of Fractions of 9895/402, 1770/739
1. What is the HCF of 9895,1770?
The HCF of 9895,1770 is 5
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 9895/402, 1770/739?
Answer: GCF of Numerators as per given numbers 9895/402, 1770/739 is
GCF of Numerators i.e. for 9895,1770 is 5
LCM of denominators i.e. for 402,739 is 297078.
Thus, GCF of Fractions is 5/297078.Finally, GCF of Fractions for 9895/402, 1770/739 is 5/297078.