GCF of 2429/772, 2414/2755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2429/772, 2414/2755 i.e 1/2126860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2429/772, 2414/2755.
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 2429/772,2414/2755?
Given fractions are 2429/772,2414/2755
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 2429/772,2414/2755, numerators are 2429,2414
Denominators are 772,2755
The GCF of 2429,2414 is 1 .
LCM of 772,2755 is 2126860.
The greatest common factor of 2429/772,2414/2755 = [GCF of 2429,2414]/[LCM of 772,2755]= 1/2126860
Therefore, the GCF of 2429/772,2414/2755 is 1/2126860.
To find the highest common factor of 2429,2414, we have to find the factors of both numbers and list the highest common factor.
The factors of 2429 are 1, 7, 347, 2429
The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414
The HCF of 2429,2414 is 1.
Lets's calculate GCF of 2429,2414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2429,2414 By Matching Biggest Common Factor Method
Now, list down the factors of 2429
:1,7,347,2429
Now, list down the factors of 2414
:1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 2429,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 2429,2414 is 1.
Lets's calculate LCM of 772,2755
Given numbers has no common factors except 1. So, there LCM is their product i.e 2126860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2126860
Therefore, the GCF of Fractions 2429/772,2414/2755 is 1/2126860
Least Common Multiple of 772,2755 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 772,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,2755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,2755) x common factors =1 x 1 = 1
LCM(772,2755) = ( 772 × 2755 ) / 1
LCM(772,2755) = 2126860 / 1
LCM(772,2755) = 2126860
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FAQs on GCF of Fractions of 2429/772, 2414/2755
1. What is the HCF of 2429,2414?
The HCF of 2429,2414 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 2429/772, 2414/2755?
Answer: GCF of Numerators as per given numbers 2429/772, 2414/2755 is
GCF of Numerators i.e. for 2429,2414 is 1
LCM of denominators i.e. for 772,2755 is 2126860.
Thus, GCF of Fractions is 1/2126860.Finally, GCF of Fractions for 2429/772, 2414/2755 is 1/2126860.