GCF of 429/662, 4622/1835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/662, 4622/1835 i.e 1/1214770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/662, 4622/1835.
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 429/662,4622/1835?
Given fractions are 429/662,4622/1835
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 429/662,4622/1835, numerators are 429,4622
Denominators are 662,1835
The GCF of 429,4622 is 1 .
LCM of 662,1835 is 1214770.
The greatest common factor of 429/662,4622/1835 = [GCF of 429,4622]/[LCM of 662,1835]= 1/1214770
Therefore, the GCF of 429/662,4622/1835 is 1/1214770.
To find the highest common factor of 429,4622, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 4622 are 1, 2, 2311, 4622
The HCF of 429,4622 is 1.
Lets's calculate GCF of 429,4622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 429,4622 By Matching Biggest Common Factor Method
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 4622
:1,2,2311,4622
Greatest Common Factor
We found the factors 429,4622 . The biggest common factor number is the GCF number.
So the greatest common factor 429,4622 is 1.
Lets's calculate LCM of 662,1835
Given numbers has no common factors except 1. So, there LCM is their product i.e 1214770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1214770
Therefore, the GCF of Fractions 429/662,4622/1835 is 1/1214770
Least Common Multiple of 662,1835 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 662,1835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,1835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,1835) x common factors =1 x 1 = 1
LCM(662,1835) = ( 662 × 1835 ) / 1
LCM(662,1835) = 1214770 / 1
LCM(662,1835) = 1214770
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FAQs on GCF of Fractions of 429/662, 4622/1835
1. What is the HCF of 429,4622?
The HCF of 429,4622 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 429/662, 4622/1835?
Answer: GCF of Numerators as per given numbers 429/662, 4622/1835 is
GCF of Numerators i.e. for 429,4622 is 1
LCM of denominators i.e. for 662,1835 is 1214770.
Thus, GCF of Fractions is 1/1214770.Finally, GCF of Fractions for 429/662, 4622/1835 is 1/1214770.