GCF of 7701/207, 2669/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7701/207, 2669/505 i.e 17/104535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7701/207, 2669/505.
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 7701/207,2669/505?
Given fractions are 7701/207,2669/505
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 7701/207,2669/505, numerators are 7701,2669
Denominators are 207,505
The GCF of 7701,2669 is 17 .
LCM of 207,505 is 104535.
The greatest common factor of 7701/207,2669/505 = [GCF of 7701,2669]/[LCM of 207,505]= 17/104535
Therefore, the GCF of 7701/207,2669/505 is 17/104535.
To find the highest common factor of 7701,2669, we have to find the factors of both numbers and list the highest common factor.
The factors of 7701 are 1, 3, 17, 51, 151, 453, 2567, 7701
The factors of 2669 are 1, 17, 157, 2669
The HCF of 7701,2669 is 17.
Lets's calculate GCF of 7701,2669
| 17 | 7701, 2669 |
| 453, 157 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7701,2669 By Matching Biggest Common Factor Method
Now, list down the factors of 7701
:1,3,17,51,151,453,2567,7701
Now, list down the factors of 2669
:1,17,157,2669
Greatest Common Factor
We found the factors 7701,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 7701,2669 is 17.
Lets's calculate LCM of 207,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 104535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/104535
Therefore, the GCF of Fractions 7701/207,2669/505 is 17/104535
Least Common Multiple of 207,505 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 207,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,505) x common factors =1 x 1 = 1
LCM(207,505) = ( 207 × 505 ) / 1
LCM(207,505) = 104535 / 1
LCM(207,505) = 104535
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FAQs on GCF of Fractions of 7701/207, 2669/505
1. What is the HCF of 7701,2669?
The HCF of 7701,2669 is 17
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 7701/207, 2669/505?
Answer: GCF of Numerators as per given numbers 7701/207, 2669/505 is
GCF of Numerators i.e. for 7701,2669 is 17
LCM of denominators i.e. for 207,505 is 104535.
Thus, GCF of Fractions is 17/104535.Finally, GCF of Fractions for 7701/207, 2669/505 is 17/104535.