GCF of 4390/930, 9770/1847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4390/930, 9770/1847 i.e 10/1717710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4390/930, 9770/1847.
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 4390/930,9770/1847?
Given fractions are 4390/930,9770/1847
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 4390/930,9770/1847, numerators are 4390,9770
Denominators are 930,1847
The GCF of 4390,9770 is 10 .
LCM of 930,1847 is 1717710.
The greatest common factor of 4390/930,9770/1847 = [GCF of 4390,9770]/[LCM of 930,1847]= 10/1717710
Therefore, the GCF of 4390/930,9770/1847 is 10/1717710.
To find the highest common factor of 4390,9770, we have to find the factors of both numbers and list the highest common factor.
The factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The HCF of 4390,9770 is 10.
Lets's calculate GCF of 4390,9770
| 2 | 4390, 9770 |
| 5 | 2195, 4885 |
| 439, 977 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4390,9770 By Matching Biggest Common Factor Method
Now, list down the factors of 4390
:1,2,5,10,439,878,2195,4390
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 4390,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 4390,9770 is 10.
Lets's calculate LCM of 930,1847
Given numbers has no common factors except 1. So, there LCM is their product i.e 1717710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1717710
Therefore, the GCF of Fractions 4390/930,9770/1847 is 10/1717710
Least Common Multiple of 930,1847 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 930,1847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,1847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(930,1847) x common factors =1 x 1 = 1
LCM(930,1847) = ( 930 × 1847 ) / 1
LCM(930,1847) = 1717710 / 1
LCM(930,1847) = 1717710
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FAQs on GCF of Fractions of 4390/930, 9770/1847
1. What is the HCF of 4390,9770?
The HCF of 4390,9770 is 10
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 4390/930, 9770/1847?
Answer: GCF of Numerators as per given numbers 4390/930, 9770/1847 is
GCF of Numerators i.e. for 4390,9770 is 10
LCM of denominators i.e. for 930,1847 is 1717710.
Thus, GCF of Fractions is 10/1717710.Finally, GCF of Fractions for 4390/930, 9770/1847 is 10/1717710.