GCF of 4270/785, 9745/2458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4270/785, 9745/2458 i.e 5/1929530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4270/785, 9745/2458.
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 4270/785,9745/2458?
Given fractions are 4270/785,9745/2458
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 4270/785,9745/2458, numerators are 4270,9745
Denominators are 785,2458
The GCF of 4270,9745 is 5 .
LCM of 785,2458 is 1929530.
The greatest common factor of 4270/785,9745/2458 = [GCF of 4270,9745]/[LCM of 785,2458]= 5/1929530
Therefore, the GCF of 4270/785,9745/2458 is 5/1929530.
To find the highest common factor of 4270,9745, we have to find the factors of both numbers and list the highest common factor.
The factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270
The factors of 9745 are 1, 5, 1949, 9745
The HCF of 4270,9745 is 5.
Lets's calculate GCF of 4270,9745
| 5 | 4270, 9745 |
| 854, 1949 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4270,9745 By Matching Biggest Common Factor Method
Now, list down the factors of 4270
:1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270
Now, list down the factors of 9745
:1,5,1949,9745
Greatest Common Factor
We found the factors 4270,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 4270,9745 is 5.
Lets's calculate LCM of 785,2458
Given numbers has no common factors except 1. So, there LCM is their product i.e 1929530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1929530
Therefore, the GCF of Fractions 4270/785,9745/2458 is 5/1929530
Least Common Multiple of 785,2458 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 785,2458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,2458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,2458) x common factors =1 x 1 = 1
LCM(785,2458) = ( 785 × 2458 ) / 1
LCM(785,2458) = 1929530 / 1
LCM(785,2458) = 1929530
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FAQs on GCF of Fractions of 4270/785, 9745/2458
1. What is the HCF of 4270,9745?
The HCF of 4270,9745 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 4270/785, 9745/2458?
Answer: GCF of Numerators as per given numbers 4270/785, 9745/2458 is
GCF of Numerators i.e. for 4270,9745 is 5
LCM of denominators i.e. for 785,2458 is 1929530.
Thus, GCF of Fractions is 5/1929530.Finally, GCF of Fractions for 4270/785, 9745/2458 is 5/1929530.