GCF of 261/602, 634/953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 261/602, 634/953 i.e 1/573706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/602, 634/953.
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 261/602,634/953?
Given fractions are 261/602,634/953
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 261/602,634/953, numerators are 261,634
Denominators are 602,953
The GCF of 261,634 is 1 .
LCM of 602,953 is 573706.
The greatest common factor of 261/602,634/953 = [GCF of 261,634]/[LCM of 602,953]= 1/573706
Therefore, the GCF of 261/602,634/953 is 1/573706.
To find the highest common factor of 261,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 261 are 1, 3, 9, 29, 87, 261
The factors of 634 are 1, 2, 317, 634
The HCF of 261,634 is 1.
Lets's calculate GCF of 261,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 261,634 By Matching Biggest Common Factor Method
Now, list down the factors of 261
:1,3,9,29,87,261
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 261,634 . The biggest common factor number is the GCF number.
So the greatest common factor 261,634 is 1.
Lets's calculate LCM of 602,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 573706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573706
Therefore, the GCF of Fractions 261/602,634/953 is 1/573706
Least Common Multiple of 602,953 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 602,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,953) x common factors =1 x 1 = 1
LCM(602,953) = ( 602 × 953 ) / 1
LCM(602,953) = 573706 / 1
LCM(602,953) = 573706
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FAQs on GCF of Fractions of 261/602, 634/953
1. What is the HCF of 261,634?
The HCF of 261,634 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 261/602, 634/953?
Answer: GCF of Numerators as per given numbers 261/602, 634/953 is
GCF of Numerators i.e. for 261,634 is 1
LCM of denominators i.e. for 602,953 is 573706.
Thus, GCF of Fractions is 1/573706.Finally, GCF of Fractions for 261/602, 634/953 is 1/573706.