GCF of 1151/778, 5792/4118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1151/778, 5792/4118 i.e 1/1601902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/778, 5792/4118.
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 1151/778,5792/4118?
Given fractions are 1151/778,5792/4118
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 1151/778,5792/4118, numerators are 1151,5792
Denominators are 778,4118
The GCF of 1151,5792 is 1 .
LCM of 778,4118 is 1601902.
The greatest common factor of 1151/778,5792/4118 = [GCF of 1151,5792]/[LCM of 778,4118]= 1/1601902
Therefore, the GCF of 1151/778,5792/4118 is 1/1601902.
To find the highest common factor of 1151,5792, we have to find the factors of both numbers and list the highest common factor.
The factors of 1151 are 1, 1151
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The HCF of 1151,5792 is 1.
Lets's calculate GCF of 1151,5792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1151,5792 By Matching Biggest Common Factor Method
Now, list down the factors of 1151
:1,1151
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 1151,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,5792 is 1.
Lets's calculate LCM of 778,4118
| 2 | 778, 4118 |
| 389, 2059 |
∴ So the LCM of the given numbers is 2 x 389 x 2059 = 1601902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1601902
Therefore, the GCF of Fractions 1151/778,5792/4118 is 1/1601902
Least Common Multiple of 778,4118 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 778,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,4118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,4118) x common factors =2 x 1 = 2
LCM(778,4118) = ( 778 × 4118 ) / 2
LCM(778,4118) = 3203804 / 2
LCM(778,4118) = 1601902
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FAQs on GCF of Fractions of 1151/778, 5792/4118
1. What is the HCF of 1151,5792?
The HCF of 1151,5792 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 1151/778, 5792/4118?
Answer: GCF of Numerators as per given numbers 1151/778, 5792/4118 is
GCF of Numerators i.e. for 1151,5792 is 1
LCM of denominators i.e. for 778,4118 is 1601902.
Thus, GCF of Fractions is 1/1601902.Finally, GCF of Fractions for 1151/778, 5792/4118 is 1/1601902.