GCF of 263/81, 970/640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 263/81, 970/640 i.e 1/51840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/81, 970/640.
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 263/81,970/640?
Given fractions are 263/81,970/640
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 263/81,970/640, numerators are 263,970
Denominators are 81,640
The GCF of 263,970 is 1 .
LCM of 81,640 is 51840.
The greatest common factor of 263/81,970/640 = [GCF of 263,970]/[LCM of 81,640]= 1/51840
Therefore, the GCF of 263/81,970/640 is 1/51840.
To find the highest common factor of 263,970, we have to find the factors of both numbers and list the highest common factor.
The factors of 263 are 1, 263
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The HCF of 263,970 is 1.
Lets's calculate GCF of 263,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 263,970 By Matching Biggest Common Factor Method
Now, list down the factors of 263
:1,263
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 263,970 . The biggest common factor number is the GCF number.
So the greatest common factor 263,970 is 1.
Lets's calculate LCM of 81,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 51840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51840
Therefore, the GCF of Fractions 263/81,970/640 is 1/51840
Least Common Multiple of 81,640 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 81,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,640) x common factors =1 x 1 = 1
LCM(81,640) = ( 81 × 640 ) / 1
LCM(81,640) = 51840 / 1
LCM(81,640) = 51840
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FAQs on GCF of Fractions of 263/81, 970/640
1. What is the HCF of 263,970?
The HCF of 263,970 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 263/81, 970/640?
Answer: GCF of Numerators as per given numbers 263/81, 970/640 is
GCF of Numerators i.e. for 263,970 is 1
LCM of denominators i.e. for 81,640 is 51840.
Thus, GCF of Fractions is 1/51840.Finally, GCF of Fractions for 263/81, 970/640 is 1/51840.