GCF of 2609/640, 6418/7843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2609/640, 6418/7843 i.e 1/5019520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2609/640, 6418/7843.
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 2609/640,6418/7843?
Given fractions are 2609/640,6418/7843
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 2609/640,6418/7843, numerators are 2609,6418
Denominators are 640,7843
The GCF of 2609,6418 is 1 .
LCM of 640,7843 is 5019520.
The greatest common factor of 2609/640,6418/7843 = [GCF of 2609,6418]/[LCM of 640,7843]= 1/5019520
Therefore, the GCF of 2609/640,6418/7843 is 1/5019520.
To find the highest common factor of 2609,6418, we have to find the factors of both numbers and list the highest common factor.
The factors of 2609 are 1, 2609
The factors of 6418 are 1, 2, 3209, 6418
The HCF of 2609,6418 is 1.
Lets's calculate GCF of 2609,6418
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2609,6418 By Matching Biggest Common Factor Method
Now, list down the factors of 2609
:1,2609
Now, list down the factors of 6418
:1,2,3209,6418
Greatest Common Factor
We found the factors 2609,6418 . The biggest common factor number is the GCF number.
So the greatest common factor 2609,6418 is 1.
Lets's calculate LCM of 640,7843
Given numbers has no common factors except 1. So, there LCM is their product i.e 5019520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5019520
Therefore, the GCF of Fractions 2609/640,6418/7843 is 1/5019520
Least Common Multiple of 640,7843 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 640,7843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,7843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,7843) x common factors =1 x 1 = 1
LCM(640,7843) = ( 640 × 7843 ) / 1
LCM(640,7843) = 5019520 / 1
LCM(640,7843) = 5019520
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FAQs on GCF of Fractions of 2609/640, 6418/7843
1. What is the HCF of 2609,6418?
The HCF of 2609,6418 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 2609/640, 6418/7843?
Answer: GCF of Numerators as per given numbers 2609/640, 6418/7843 is
GCF of Numerators i.e. for 2609,6418 is 1
LCM of denominators i.e. for 640,7843 is 5019520.
Thus, GCF of Fractions is 1/5019520.Finally, GCF of Fractions for 2609/640, 6418/7843 is 1/5019520.