GCF of 5499/694, 1760/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5499/694, 1760/347 i.e 1/694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5499/694, 1760/347.
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 5499/694,1760/347?
Given fractions are 5499/694,1760/347
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 5499/694,1760/347, numerators are 5499,1760
Denominators are 694,347
The GCF of 5499,1760 is 1 .
LCM of 694,347 is 694.
The greatest common factor of 5499/694,1760/347 = [GCF of 5499,1760]/[LCM of 694,347]= 1/694
Therefore, the GCF of 5499/694,1760/347 is 1/694.
To find the highest common factor of 5499,1760, we have to find the factors of both numbers and list the highest common factor.
The factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499
The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760
The HCF of 5499,1760 is 1.
Lets's calculate GCF of 5499,1760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5499,1760 By Matching Biggest Common Factor Method
Now, list down the factors of 5499
:1,3,9,13,39,47,117,141,423,611,1833,5499
Now, list down the factors of 1760
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760
Greatest Common Factor
We found the factors 5499,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 5499,1760 is 1.
Lets's calculate LCM of 694,347
| 347 | 694, 347 |
| 2, 1 |
∴ So the LCM of the given numbers is 347 x 2 x 1 = 694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694
Therefore, the GCF of Fractions 5499/694,1760/347 is 1/694
Least Common Multiple of 694,347 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 694,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,347) = 347
common factors(in case of two or more numbers have common factors) = 1
GCF(694,347) x common factors =347 x 1 = 347
LCM(694,347) = ( 694 × 347 ) / 347
LCM(694,347) = 240818 / 347
LCM(694,347) = 694
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FAQs on GCF of Fractions of 5499/694, 1760/347
1. What is the HCF of 5499,1760?
The HCF of 5499,1760 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 5499/694, 1760/347?
Answer: GCF of Numerators as per given numbers 5499/694, 1760/347 is
GCF of Numerators i.e. for 5499,1760 is 1
LCM of denominators i.e. for 694,347 is 694.
Thus, GCF of Fractions is 1/694.Finally, GCF of Fractions for 5499/694, 1760/347 is 1/694.