GCF of 657/10, 782/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 657/10, 782/263 i.e 1/2630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 657/10, 782/263.
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 657/10,782/263?
Given fractions are 657/10,782/263
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 657/10,782/263, numerators are 657,782
Denominators are 10,263
The GCF of 657,782 is 1 .
LCM of 10,263 is 2630.
The greatest common factor of 657/10,782/263 = [GCF of 657,782]/[LCM of 10,263]= 1/2630
Therefore, the GCF of 657/10,782/263 is 1/2630.
To find the highest common factor of 657,782, 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 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 657,782 is 1.
Lets's calculate GCF of 657,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 657,782 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 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 657,782 . The biggest common factor number is the GCF number.
So the greatest common factor 657,782 is 1.
Lets's calculate LCM of 10,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 2630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2630
Therefore, the GCF of Fractions 657/10,782/263 is 1/2630
Least Common Multiple of 10,263 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 10,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,263) x common factors =1 x 1 = 1
LCM(10,263) = ( 10 × 263 ) / 1
LCM(10,263) = 2630 / 1
LCM(10,263) = 2630
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FAQs on GCF of Fractions of 657/10, 782/263
1. What is the HCF of 657,782?
The HCF of 657,782 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 657/10, 782/263?
Answer: GCF of Numerators as per given numbers 657/10, 782/263 is
GCF of Numerators i.e. for 657,782 is 1
LCM of denominators i.e. for 10,263 is 2630.
Thus, GCF of Fractions is 1/2630.Finally, GCF of Fractions for 657/10, 782/263 is 1/2630.