GCF of 6559/786, 2420/3485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6559/786, 2420/3485 i.e 1/2739210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6559/786, 2420/3485.
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 6559/786,2420/3485?
Given fractions are 6559/786,2420/3485
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 6559/786,2420/3485, numerators are 6559,2420
Denominators are 786,3485
The GCF of 6559,2420 is 1 .
LCM of 786,3485 is 2739210.
The greatest common factor of 6559/786,2420/3485 = [GCF of 6559,2420]/[LCM of 786,3485]= 1/2739210
Therefore, the GCF of 6559/786,2420/3485 is 1/2739210.
To find the highest common factor of 6559,2420, we have to find the factors of both numbers and list the highest common factor.
The factors of 6559 are 1, 7, 937, 6559
The factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420
The HCF of 6559,2420 is 1.
Lets's calculate GCF of 6559,2420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6559,2420 By Matching Biggest Common Factor Method
Now, list down the factors of 6559
:1,7,937,6559
Now, list down the factors of 2420
:1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Greatest Common Factor
We found the factors 6559,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 6559,2420 is 1.
Lets's calculate LCM of 786,3485
Given numbers has no common factors except 1. So, there LCM is their product i.e 2739210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2739210
Therefore, the GCF of Fractions 6559/786,2420/3485 is 1/2739210
Least Common Multiple of 786,3485 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 786,3485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,3485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,3485) x common factors =1 x 1 = 1
LCM(786,3485) = ( 786 × 3485 ) / 1
LCM(786,3485) = 2739210 / 1
LCM(786,3485) = 2739210
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FAQs on GCF of Fractions of 6559/786, 2420/3485
1. What is the HCF of 6559,2420?
The HCF of 6559,2420 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 6559/786, 2420/3485?
Answer: GCF of Numerators as per given numbers 6559/786, 2420/3485 is
GCF of Numerators i.e. for 6559,2420 is 1
LCM of denominators i.e. for 786,3485 is 2739210.
Thus, GCF of Fractions is 1/2739210.Finally, GCF of Fractions for 6559/786, 2420/3485 is 1/2739210.