GCF of 3432/814, 2317/7992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3432/814, 2317/7992 i.e 1/87912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3432/814, 2317/7992.
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 3432/814,2317/7992?
Given fractions are 3432/814,2317/7992
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 3432/814,2317/7992, numerators are 3432,2317
Denominators are 814,7992
The GCF of 3432,2317 is 1 .
LCM of 814,7992 is 87912.
The greatest common factor of 3432/814,2317/7992 = [GCF of 3432,2317]/[LCM of 814,7992]= 1/87912
Therefore, the GCF of 3432/814,2317/7992 is 1/87912.
To find the highest common factor of 3432,2317, 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 2317 are 1, 7, 331, 2317
The HCF of 3432,2317 is 1.
Lets's calculate GCF of 3432,2317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3432,2317 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 2317
:1,7,331,2317
Greatest Common Factor
We found the factors 3432,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,2317 is 1.
Lets's calculate LCM of 814,7992
| 2 | 814, 7992 |
| 37 | 407, 3996 |
| 11, 108 |
∴ So the LCM of the given numbers is 2 x 37 x 11 x 108 = 87912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87912
Therefore, the GCF of Fractions 3432/814,2317/7992 is 1/87912
Least Common Multiple of 814,7992 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 814,7992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,7992) = 74
common factors(in case of two or more numbers have common factors) = 1
GCF(814,7992) x common factors =74 x 1 = 74
LCM(814,7992) = ( 814 × 7992 ) / 74
LCM(814,7992) = 6505488 / 74
LCM(814,7992) = 87912
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FAQs on GCF of Fractions of 3432/814, 2317/7992
1. What is the HCF of 3432,2317?
The HCF of 3432,2317 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 3432/814, 2317/7992?
Answer: GCF of Numerators as per given numbers 3432/814, 2317/7992 is
GCF of Numerators i.e. for 3432,2317 is 1
LCM of denominators i.e. for 814,7992 is 87912.
Thus, GCF of Fractions is 1/87912.Finally, GCF of Fractions for 3432/814, 2317/7992 is 1/87912.