GCF of 7795/342, 8277/8831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7795/342, 8277/8831 i.e 1/3020202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7795/342, 8277/8831.
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 7795/342,8277/8831?
Given fractions are 7795/342,8277/8831
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 7795/342,8277/8831, numerators are 7795,8277
Denominators are 342,8831
The GCF of 7795,8277 is 1 .
LCM of 342,8831 is 3020202.
The greatest common factor of 7795/342,8277/8831 = [GCF of 7795,8277]/[LCM of 342,8831]= 1/3020202
Therefore, the GCF of 7795/342,8277/8831 is 1/3020202.
To find the highest common factor of 7795,8277, we have to find the factors of both numbers and list the highest common factor.
The factors of 7795 are 1, 5, 1559, 7795
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The HCF of 7795,8277 is 1.
Lets's calculate GCF of 7795,8277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7795,8277 By Matching Biggest Common Factor Method
Now, list down the factors of 7795
:1,5,1559,7795
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 7795,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 7795,8277 is 1.
Lets's calculate LCM of 342,8831
Given numbers has no common factors except 1. So, there LCM is their product i.e 3020202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3020202
Therefore, the GCF of Fractions 7795/342,8277/8831 is 1/3020202
Least Common Multiple of 342,8831 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 342,8831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,8831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,8831) x common factors =1 x 1 = 1
LCM(342,8831) = ( 342 × 8831 ) / 1
LCM(342,8831) = 3020202 / 1
LCM(342,8831) = 3020202
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FAQs on GCF of Fractions of 7795/342, 8277/8831
1. What is the HCF of 7795,8277?
The HCF of 7795,8277 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 7795/342, 8277/8831?
Answer: GCF of Numerators as per given numbers 7795/342, 8277/8831 is
GCF of Numerators i.e. for 7795,8277 is 1
LCM of denominators i.e. for 342,8831 is 3020202.
Thus, GCF of Fractions is 1/3020202.Finally, GCF of Fractions for 7795/342, 8277/8831 is 1/3020202.