GCF of 1883/526, 3432/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1883/526, 3432/488 i.e 1/128344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1883/526, 3432/488.
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 1883/526,3432/488?
Given fractions are 1883/526,3432/488
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 1883/526,3432/488, numerators are 1883,3432
Denominators are 526,488
The GCF of 1883,3432 is 1 .
LCM of 526,488 is 128344.
The greatest common factor of 1883/526,3432/488 = [GCF of 1883,3432]/[LCM of 526,488]= 1/128344
Therefore, the GCF of 1883/526,3432/488 is 1/128344.
To find the highest common factor of 1883,3432, we have to find the factors of both numbers and list the highest common factor.
The factors of 1883 are 1, 7, 269, 1883
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 HCF of 1883,3432 is 1.
Lets's calculate GCF of 1883,3432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1883,3432 By Matching Biggest Common Factor Method
Now, list down the factors of 1883
:1,7,269,1883
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
Greatest Common Factor
We found the factors 1883,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 1883,3432 is 1.
Lets's calculate LCM of 526,488
| 2 | 526, 488 |
| 263, 244 |
∴ So the LCM of the given numbers is 2 x 263 x 244 = 128344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128344
Therefore, the GCF of Fractions 1883/526,3432/488 is 1/128344
Least Common Multiple of 526,488 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 526,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,488) x common factors =2 x 1 = 2
LCM(526,488) = ( 526 × 488 ) / 2
LCM(526,488) = 256688 / 2
LCM(526,488) = 128344
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FAQs on GCF of Fractions of 1883/526, 3432/488
1. What is the HCF of 1883,3432?
The HCF of 1883,3432 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 1883/526, 3432/488?
Answer: GCF of Numerators as per given numbers 1883/526, 3432/488 is
GCF of Numerators i.e. for 1883,3432 is 1
LCM of denominators i.e. for 526,488 is 128344.
Thus, GCF of Fractions is 1/128344.Finally, GCF of Fractions for 1883/526, 3432/488 is 1/128344.