GCF of 657/747, 9562/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 657/747, 9562/505 i.e 1/377235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 657/747, 9562/505.
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 657/747,9562/505?
Given fractions are 657/747,9562/505
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 657/747,9562/505, numerators are 657,9562
Denominators are 747,505
The GCF of 657,9562 is 1 .
LCM of 747,505 is 377235.
The greatest common factor of 657/747,9562/505 = [GCF of 657,9562]/[LCM of 747,505]= 1/377235
Therefore, the GCF of 657/747,9562/505 is 1/377235.
To find the highest common factor of 657,9562, we have to find the factors of both numbers and list the highest common factor.
The factors of 657 are 1, 3, 9, 73, 219, 657
The factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562
The HCF of 657,9562 is 1.
Lets's calculate GCF of 657,9562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 657,9562 By Matching Biggest Common Factor Method
Now, list down the factors of 657
:1,3,9,73,219,657
Now, list down the factors of 9562
:1,2,7,14,683,1366,4781,9562
Greatest Common Factor
We found the factors 657,9562 . The biggest common factor number is the GCF number.
So the greatest common factor 657,9562 is 1.
Lets's calculate LCM of 747,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 377235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377235
Therefore, the GCF of Fractions 657/747,9562/505 is 1/377235
Least Common Multiple of 747,505 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 747,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,505) x common factors =1 x 1 = 1
LCM(747,505) = ( 747 × 505 ) / 1
LCM(747,505) = 377235 / 1
LCM(747,505) = 377235
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FAQs on GCF of Fractions of 657/747, 9562/505
1. What is the HCF of 657,9562?
The HCF of 657,9562 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 657/747, 9562/505?
Answer: GCF of Numerators as per given numbers 657/747, 9562/505 is
GCF of Numerators i.e. for 657,9562 is 1
LCM of denominators i.e. for 747,505 is 377235.
Thus, GCF of Fractions is 1/377235.Finally, GCF of Fractions for 657/747, 9562/505 is 1/377235.