GCF of 3407/499, 2067/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3407/499, 2067/547 i.e 1/272953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3407/499, 2067/547.
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 3407/499,2067/547?
Given fractions are 3407/499,2067/547
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 3407/499,2067/547, numerators are 3407,2067
Denominators are 499,547
The GCF of 3407,2067 is 1 .
LCM of 499,547 is 272953.
The greatest common factor of 3407/499,2067/547 = [GCF of 3407,2067]/[LCM of 499,547]= 1/272953
Therefore, the GCF of 3407/499,2067/547 is 1/272953.
To find the highest common factor of 3407,2067, we have to find the factors of both numbers and list the highest common factor.
The factors of 3407 are 1, 3407
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The HCF of 3407,2067 is 1.
Lets's calculate GCF of 3407,2067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3407,2067 By Matching Biggest Common Factor Method
Now, list down the factors of 3407
:1,3407
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Greatest Common Factor
We found the factors 3407,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 3407,2067 is 1.
Lets's calculate LCM of 499,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 272953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272953
Therefore, the GCF of Fractions 3407/499,2067/547 is 1/272953
Least Common Multiple of 499,547 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 499,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,547) x common factors =1 x 1 = 1
LCM(499,547) = ( 499 × 547 ) / 1
LCM(499,547) = 272953 / 1
LCM(499,547) = 272953
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FAQs on GCF of Fractions of 3407/499, 2067/547
1. What is the HCF of 3407,2067?
The HCF of 3407,2067 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 3407/499, 2067/547?
Answer: GCF of Numerators as per given numbers 3407/499, 2067/547 is
GCF of Numerators i.e. for 3407,2067 is 1
LCM of denominators i.e. for 499,547 is 272953.
Thus, GCF of Fractions is 1/272953.Finally, GCF of Fractions for 3407/499, 2067/547 is 1/272953.