GCF of 4783/343, 1955/7646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4783/343, 1955/7646 i.e 1/2622578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4783/343, 1955/7646.
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 4783/343,1955/7646?
Given fractions are 4783/343,1955/7646
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 4783/343,1955/7646, numerators are 4783,1955
Denominators are 343,7646
The GCF of 4783,1955 is 1 .
LCM of 343,7646 is 2622578.
The greatest common factor of 4783/343,1955/7646 = [GCF of 4783,1955]/[LCM of 343,7646]= 1/2622578
Therefore, the GCF of 4783/343,1955/7646 is 1/2622578.
To find the highest common factor of 4783,1955, we have to find the factors of both numbers and list the highest common factor.
The factors of 4783 are 1, 4783
The factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955
The HCF of 4783,1955 is 1.
Lets's calculate GCF of 4783,1955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4783,1955 By Matching Biggest Common Factor Method
Now, list down the factors of 4783
:1,4783
Now, list down the factors of 1955
:1,5,17,23,85,115,391,1955
Greatest Common Factor
We found the factors 4783,1955 . The biggest common factor number is the GCF number.
So the greatest common factor 4783,1955 is 1.
Lets's calculate LCM of 343,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 2622578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2622578
Therefore, the GCF of Fractions 4783/343,1955/7646 is 1/2622578
Least Common Multiple of 343,7646 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 343,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,7646) x common factors =1 x 1 = 1
LCM(343,7646) = ( 343 × 7646 ) / 1
LCM(343,7646) = 2622578 / 1
LCM(343,7646) = 2622578
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FAQs on GCF of Fractions of 4783/343, 1955/7646
1. What is the HCF of 4783,1955?
The HCF of 4783,1955 is 1
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 4783/343, 1955/7646?
Answer: GCF of Numerators as per given numbers 4783/343, 1955/7646 is
GCF of Numerators i.e. for 4783,1955 is 1
LCM of denominators i.e. for 343,7646 is 2622578.
Thus, GCF of Fractions is 1/2622578.Finally, GCF of Fractions for 4783/343, 1955/7646 is 1/2622578.