GCF of 4054/265, 1174/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4054/265, 1174/767 i.e 2/203255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4054/265, 1174/767.
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 4054/265,1174/767?
Given fractions are 4054/265,1174/767
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 4054/265,1174/767, numerators are 4054,1174
Denominators are 265,767
The GCF of 4054,1174 is 2 .
LCM of 265,767 is 203255.
The greatest common factor of 4054/265,1174/767 = [GCF of 4054,1174]/[LCM of 265,767]= 2/203255
Therefore, the GCF of 4054/265,1174/767 is 2/203255.
To find the highest common factor of 4054,1174, we have to find the factors of both numbers and list the highest common factor.
The factors of 4054 are 1, 2, 2027, 4054
The factors of 1174 are 1, 2, 587, 1174
The HCF of 4054,1174 is 2.
Lets's calculate GCF of 4054,1174
| 2 | 4054, 1174 |
| 2027, 587 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4054,1174 By Matching Biggest Common Factor Method
Now, list down the factors of 4054
:1,2,2027,4054
Now, list down the factors of 1174
:1,2,587,1174
Greatest Common Factor
We found the factors 4054,1174 . The biggest common factor number is the GCF number.
So the greatest common factor 4054,1174 is 2.
Lets's calculate LCM of 265,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 203255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203255
Therefore, the GCF of Fractions 4054/265,1174/767 is 2/203255
Least Common Multiple of 265,767 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 265,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,767) x common factors =1 x 1 = 1
LCM(265,767) = ( 265 × 767 ) / 1
LCM(265,767) = 203255 / 1
LCM(265,767) = 203255
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FAQs on GCF of Fractions of 4054/265, 1174/767
1. What is the HCF of 4054,1174?
The HCF of 4054,1174 is 2
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 4054/265, 1174/767?
Answer: GCF of Numerators as per given numbers 4054/265, 1174/767 is
GCF of Numerators i.e. for 4054,1174 is 2
LCM of denominators i.e. for 265,767 is 203255.
Thus, GCF of Fractions is 2/203255.Finally, GCF of Fractions for 4054/265, 1174/767 is 2/203255.