GCF of 1692/503, 5346/9937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1692/503, 5346/9937 i.e 18/4998311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1692/503, 5346/9937.
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 1692/503,5346/9937?
Given fractions are 1692/503,5346/9937
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 1692/503,5346/9937, numerators are 1692,5346
Denominators are 503,9937
The GCF of 1692,5346 is 18 .
LCM of 503,9937 is 4998311.
The greatest common factor of 1692/503,5346/9937 = [GCF of 1692,5346]/[LCM of 503,9937]= 18/4998311
Therefore, the GCF of 1692/503,5346/9937 is 18/4998311.
To find the highest common factor of 1692,5346, we have to find the factors of both numbers and list the highest common factor.
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The HCF of 1692,5346 is 18.
Lets's calculate GCF of 1692,5346
| 2 | 1692, 5346 |
| 3 | 846, 2673 |
| 3 | 282, 891 |
| 94, 297 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1692,5346 By Matching Biggest Common Factor Method
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 1692,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 1692,5346 is 18.
Lets's calculate LCM of 503,9937
Given numbers has no common factors except 1. So, there LCM is their product i.e 4998311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/4998311
Therefore, the GCF of Fractions 1692/503,5346/9937 is 18/4998311
Least Common Multiple of 503,9937 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 503,9937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,9937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,9937) x common factors =1 x 1 = 1
LCM(503,9937) = ( 503 × 9937 ) / 1
LCM(503,9937) = 4998311 / 1
LCM(503,9937) = 4998311
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FAQs on GCF of Fractions of 1692/503, 5346/9937
1. What is the HCF of 1692,5346?
The HCF of 1692,5346 is 18
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 1692/503, 5346/9937?
Answer: GCF of Numerators as per given numbers 1692/503, 5346/9937 is
GCF of Numerators i.e. for 1692,5346 is 18
LCM of denominators i.e. for 503,9937 is 4998311.
Thus, GCF of Fractions is 18/4998311.Finally, GCF of Fractions for 1692/503, 5346/9937 is 18/4998311.