GCF of 7945/707, 1101/1174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7945/707, 1101/1174 i.e 1/830018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7945/707, 1101/1174.
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 7945/707,1101/1174?
Given fractions are 7945/707,1101/1174
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 7945/707,1101/1174, numerators are 7945,1101
Denominators are 707,1174
The GCF of 7945,1101 is 1 .
LCM of 707,1174 is 830018.
The greatest common factor of 7945/707,1101/1174 = [GCF of 7945,1101]/[LCM of 707,1174]= 1/830018
Therefore, the GCF of 7945/707,1101/1174 is 1/830018.
To find the highest common factor of 7945,1101, we have to find the factors of both numbers and list the highest common factor.
The factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945
The factors of 1101 are 1, 3, 367, 1101
The HCF of 7945,1101 is 1.
Lets's calculate GCF of 7945,1101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7945,1101 By Matching Biggest Common Factor Method
Now, list down the factors of 7945
:1,5,7,35,227,1135,1589,7945
Now, list down the factors of 1101
:1,3,367,1101
Greatest Common Factor
We found the factors 7945,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 7945,1101 is 1.
Lets's calculate LCM of 707,1174
Given numbers has no common factors except 1. So, there LCM is their product i.e 830018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/830018
Therefore, the GCF of Fractions 7945/707,1101/1174 is 1/830018
Least Common Multiple of 707,1174 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 707,1174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,1174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,1174) x common factors =1 x 1 = 1
LCM(707,1174) = ( 707 × 1174 ) / 1
LCM(707,1174) = 830018 / 1
LCM(707,1174) = 830018
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FAQs on GCF of Fractions of 7945/707, 1101/1174
1. What is the HCF of 7945,1101?
The HCF of 7945,1101 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 7945/707, 1101/1174?
Answer: GCF of Numerators as per given numbers 7945/707, 1101/1174 is
GCF of Numerators i.e. for 7945,1101 is 1
LCM of denominators i.e. for 707,1174 is 830018.
Thus, GCF of Fractions is 1/830018.Finally, GCF of Fractions for 7945/707, 1101/1174 is 1/830018.