GCF of 8521/770, 1301/281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8521/770, 1301/281 i.e 1/216370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8521/770, 1301/281.
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 8521/770,1301/281?
Given fractions are 8521/770,1301/281
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 8521/770,1301/281, numerators are 8521,1301
Denominators are 770,281
The GCF of 8521,1301 is 1 .
LCM of 770,281 is 216370.
The greatest common factor of 8521/770,1301/281 = [GCF of 8521,1301]/[LCM of 770,281]= 1/216370
Therefore, the GCF of 8521/770,1301/281 is 1/216370.
To find the highest common factor of 8521,1301, we have to find the factors of both numbers and list the highest common factor.
The factors of 8521 are 1, 8521
The factors of 1301 are 1, 1301
The HCF of 8521,1301 is 1.
Lets's calculate GCF of 8521,1301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8521,1301 By Matching Biggest Common Factor Method
Now, list down the factors of 8521
:1,8521
Now, list down the factors of 1301
:1,1301
Greatest Common Factor
We found the factors 8521,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 8521,1301 is 1.
Lets's calculate LCM of 770,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 216370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216370
Therefore, the GCF of Fractions 8521/770,1301/281 is 1/216370
Least Common Multiple of 770,281 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 770,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,281) x common factors =1 x 1 = 1
LCM(770,281) = ( 770 × 281 ) / 1
LCM(770,281) = 216370 / 1
LCM(770,281) = 216370
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FAQs on GCF of Fractions of 8521/770, 1301/281
1. What is the HCF of 8521,1301?
The HCF of 8521,1301 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 8521/770, 1301/281?
Answer: GCF of Numerators as per given numbers 8521/770, 1301/281 is
GCF of Numerators i.e. for 8521,1301 is 1
LCM of denominators i.e. for 770,281 is 216370.
Thus, GCF of Fractions is 1/216370.Finally, GCF of Fractions for 8521/770, 1301/281 is 1/216370.