GCF of 2421/171, 3479/6570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2421/171, 3479/6570 i.e 1/124830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2421/171, 3479/6570.
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 2421/171,3479/6570?
Given fractions are 2421/171,3479/6570
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 2421/171,3479/6570, numerators are 2421,3479
Denominators are 171,6570
The GCF of 2421,3479 is 1 .
LCM of 171,6570 is 124830.
The greatest common factor of 2421/171,3479/6570 = [GCF of 2421,3479]/[LCM of 171,6570]= 1/124830
Therefore, the GCF of 2421/171,3479/6570 is 1/124830.
To find the highest common factor of 2421,3479, we have to find the factors of both numbers and list the highest common factor.
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The HCF of 2421,3479 is 1.
Lets's calculate GCF of 2421,3479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2421,3479 By Matching Biggest Common Factor Method
Now, list down the factors of 2421
:1,3,9,269,807,2421
Now, list down the factors of 3479
:1,7,49,71,497,3479
Greatest Common Factor
We found the factors 2421,3479 . The biggest common factor number is the GCF number.
So the greatest common factor 2421,3479 is 1.
Lets's calculate LCM of 171,6570
| 3 | 171, 6570 |
| 3 | 57, 2190 |
| 19, 730 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 730 = 124830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124830
Therefore, the GCF of Fractions 2421/171,3479/6570 is 1/124830
Least Common Multiple of 171,6570 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 171,6570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,6570) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(171,6570) x common factors =9 x 1 = 9
LCM(171,6570) = ( 171 × 6570 ) / 9
LCM(171,6570) = 1123470 / 9
LCM(171,6570) = 124830
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FAQs on GCF of Fractions of 2421/171, 3479/6570
1. What is the HCF of 2421,3479?
The HCF of 2421,3479 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 2421/171, 3479/6570?
Answer: GCF of Numerators as per given numbers 2421/171, 3479/6570 is
GCF of Numerators i.e. for 2421,3479 is 1
LCM of denominators i.e. for 171,6570 is 124830.
Thus, GCF of Fractions is 1/124830.Finally, GCF of Fractions for 2421/171, 3479/6570 is 1/124830.