GCF of 3479/967, 1346/3621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3479/967, 1346/3621 i.e 1/3501507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3479/967, 1346/3621.
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 3479/967,1346/3621?
Given fractions are 3479/967,1346/3621
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 3479/967,1346/3621, numerators are 3479,1346
Denominators are 967,3621
The GCF of 3479,1346 is 1 .
LCM of 967,3621 is 3501507.
The greatest common factor of 3479/967,1346/3621 = [GCF of 3479,1346]/[LCM of 967,3621]= 1/3501507
Therefore, the GCF of 3479/967,1346/3621 is 1/3501507.
To find the highest common factor of 3479,1346, we have to find the factors of both numbers and list the highest common factor.
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The factors of 1346 are 1, 2, 673, 1346
The HCF of 3479,1346 is 1.
Lets's calculate GCF of 3479,1346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3479,1346 By Matching Biggest Common Factor Method
Now, list down the factors of 3479
:1,7,49,71,497,3479
Now, list down the factors of 1346
:1,2,673,1346
Greatest Common Factor
We found the factors 3479,1346 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,1346 is 1.
Lets's calculate LCM of 967,3621
Given numbers has no common factors except 1. So, there LCM is their product i.e 3501507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3501507
Therefore, the GCF of Fractions 3479/967,1346/3621 is 1/3501507
Least Common Multiple of 967,3621 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 967,3621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3621) x common factors =1 x 1 = 1
LCM(967,3621) = ( 967 × 3621 ) / 1
LCM(967,3621) = 3501507 / 1
LCM(967,3621) = 3501507
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FAQs on GCF of Fractions of 3479/967, 1346/3621
1. What is the HCF of 3479,1346?
The HCF of 3479,1346 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 3479/967, 1346/3621?
Answer: GCF of Numerators as per given numbers 3479/967, 1346/3621 is
GCF of Numerators i.e. for 3479,1346 is 1
LCM of denominators i.e. for 967,3621 is 3501507.
Thus, GCF of Fractions is 1/3501507.Finally, GCF of Fractions for 3479/967, 1346/3621 is 1/3501507.