GCF of 1778/992, 5715/4344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1778/992, 5715/4344 i.e 127/538656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1778/992, 5715/4344.
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 1778/992,5715/4344?
Given fractions are 1778/992,5715/4344
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 1778/992,5715/4344, numerators are 1778,5715
Denominators are 992,4344
The GCF of 1778,5715 is 127 .
LCM of 992,4344 is 538656.
The greatest common factor of 1778/992,5715/4344 = [GCF of 1778,5715]/[LCM of 992,4344]= 127/538656
Therefore, the GCF of 1778/992,5715/4344 is 127/538656.
To find the highest common factor of 1778,5715, we have to find the factors of both numbers and list the highest common factor.
The factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The HCF of 1778,5715 is 127.
Lets's calculate GCF of 1778,5715
| 127 | 1778, 5715 |
| 14, 45 |
∴ So the GCF of the given numbers is 127 = 127
Greatest Common Factor of 1778,5715 By Matching Biggest Common Factor Method
Now, list down the factors of 1778
:1,2,7,14,127,254,889,1778
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Greatest Common Factor
We found the factors 1778,5715 . The biggest common factor number is the GCF number.
So the greatest common factor 1778,5715 is 127.
Lets's calculate LCM of 992,4344
| 2 | 992, 4344 |
| 2 | 496, 2172 |
| 2 | 248, 1086 |
| 124, 543 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 543 = 538656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/538656
Therefore, the GCF of Fractions 1778/992,5715/4344 is 127/538656
Least Common Multiple of 992,4344 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 992,4344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,4344) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(992,4344) x common factors =8 x 1 = 8
LCM(992,4344) = ( 992 × 4344 ) / 8
LCM(992,4344) = 4309248 / 8
LCM(992,4344) = 538656
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FAQs on GCF of Fractions of 1778/992, 5715/4344
1. What is the HCF of 1778,5715?
The HCF of 1778,5715 is 127
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 1778/992, 5715/4344?
Answer: GCF of Numerators as per given numbers 1778/992, 5715/4344 is
GCF of Numerators i.e. for 1778,5715 is 127
LCM of denominators i.e. for 992,4344 is 538656.
Thus, GCF of Fractions is 127/538656.Finally, GCF of Fractions for 1778/992, 5715/4344 is 127/538656.