GCF of 1745/555, 8380/1848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1745/555, 8380/1848 i.e 5/341880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1745/555, 8380/1848.
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 1745/555,8380/1848?
Given fractions are 1745/555,8380/1848
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 1745/555,8380/1848, numerators are 1745,8380
Denominators are 555,1848
The GCF of 1745,8380 is 5 .
LCM of 555,1848 is 341880.
The greatest common factor of 1745/555,8380/1848 = [GCF of 1745,8380]/[LCM of 555,1848]= 5/341880
Therefore, the GCF of 1745/555,8380/1848 is 5/341880.
To find the highest common factor of 1745,8380, we have to find the factors of both numbers and list the highest common factor.
The factors of 1745 are 1, 5, 349, 1745
The factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380
The HCF of 1745,8380 is 5.
Lets's calculate GCF of 1745,8380
| 5 | 1745, 8380 |
| 349, 1676 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1745,8380 By Matching Biggest Common Factor Method
Now, list down the factors of 1745
:1,5,349,1745
Now, list down the factors of 8380
:1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 1745,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 1745,8380 is 5.
Lets's calculate LCM of 555,1848
| 3 | 555, 1848 |
| 185, 616 |
∴ So the LCM of the given numbers is 3 x 185 x 616 = 341880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/341880
Therefore, the GCF of Fractions 1745/555,8380/1848 is 5/341880
Least Common Multiple of 555,1848 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 555,1848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,1848) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(555,1848) x common factors =3 x 1 = 3
LCM(555,1848) = ( 555 × 1848 ) / 3
LCM(555,1848) = 1025640 / 3
LCM(555,1848) = 341880
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FAQs on GCF of Fractions of 1745/555, 8380/1848
1. What is the HCF of 1745,8380?
The HCF of 1745,8380 is 5
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 1745/555, 8380/1848?
Answer: GCF of Numerators as per given numbers 1745/555, 8380/1848 is
GCF of Numerators i.e. for 1745,8380 is 5
LCM of denominators i.e. for 555,1848 is 341880.
Thus, GCF of Fractions is 5/341880.Finally, GCF of Fractions for 1745/555, 8380/1848 is 5/341880.