GCF of 3432/529, 3826/3039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3432/529, 3826/3039 i.e 2/1607631 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3432/529, 3826/3039.
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 3432/529,3826/3039?
Given fractions are 3432/529,3826/3039
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 3432/529,3826/3039, numerators are 3432,3826
Denominators are 529,3039
The GCF of 3432,3826 is 2 .
LCM of 529,3039 is 1607631.
The greatest common factor of 3432/529,3826/3039 = [GCF of 3432,3826]/[LCM of 529,3039]= 2/1607631
Therefore, the GCF of 3432/529,3826/3039 is 2/1607631.
To find the highest common factor of 3432,3826, we have to find the factors of both numbers and list the highest common factor.
The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432
The factors of 3826 are 1, 2, 1913, 3826
The HCF of 3432,3826 is 2.
Lets's calculate GCF of 3432,3826
| 2 | 3432, 3826 |
| 1716, 1913 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3432,3826 By Matching Biggest Common Factor Method
Now, list down the factors of 3432
:1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Now, list down the factors of 3826
:1,2,1913,3826
Greatest Common Factor
We found the factors 3432,3826 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,3826 is 2.
Lets's calculate LCM of 529,3039
Given numbers has no common factors except 1. So, there LCM is their product i.e 1607631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1607631
Therefore, the GCF of Fractions 3432/529,3826/3039 is 2/1607631
Least Common Multiple of 529,3039 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 529,3039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,3039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,3039) x common factors =1 x 1 = 1
LCM(529,3039) = ( 529 × 3039 ) / 1
LCM(529,3039) = 1607631 / 1
LCM(529,3039) = 1607631
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FAQs on GCF of Fractions of 3432/529, 3826/3039
1. What is the HCF of 3432,3826?
The HCF of 3432,3826 is 2
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 3432/529, 3826/3039?
Answer: GCF of Numerators as per given numbers 3432/529, 3826/3039 is
GCF of Numerators i.e. for 3432,3826 is 2
LCM of denominators i.e. for 529,3039 is 1607631.
Thus, GCF of Fractions is 2/1607631.Finally, GCF of Fractions for 3432/529, 3826/3039 is 2/1607631.