GCF of 1534/341, 1067/1521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1534/341, 1067/1521 i.e 1/518661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1534/341, 1067/1521.
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 1534/341,1067/1521?
Given fractions are 1534/341,1067/1521
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 1534/341,1067/1521, numerators are 1534,1067
Denominators are 341,1521
The GCF of 1534,1067 is 1 .
LCM of 341,1521 is 518661.
The greatest common factor of 1534/341,1067/1521 = [GCF of 1534,1067]/[LCM of 341,1521]= 1/518661
Therefore, the GCF of 1534/341,1067/1521 is 1/518661.
To find the highest common factor of 1534,1067, we have to find the factors of both numbers and list the highest common factor.
The factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534
The factors of 1067 are 1, 11, 97, 1067
The HCF of 1534,1067 is 1.
Lets's calculate GCF of 1534,1067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1534,1067 By Matching Biggest Common Factor Method
Now, list down the factors of 1534
:1,2,13,26,59,118,767,1534
Now, list down the factors of 1067
:1,11,97,1067
Greatest Common Factor
We found the factors 1534,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 1534,1067 is 1.
Lets's calculate LCM of 341,1521
Given numbers has no common factors except 1. So, there LCM is their product i.e 518661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518661
Therefore, the GCF of Fractions 1534/341,1067/1521 is 1/518661
Least Common Multiple of 341,1521 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 341,1521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,1521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,1521) x common factors =1 x 1 = 1
LCM(341,1521) = ( 341 × 1521 ) / 1
LCM(341,1521) = 518661 / 1
LCM(341,1521) = 518661
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FAQs on GCF of Fractions of 1534/341, 1067/1521
1. What is the HCF of 1534,1067?
The HCF of 1534,1067 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 1534/341, 1067/1521?
Answer: GCF of Numerators as per given numbers 1534/341, 1067/1521 is
GCF of Numerators i.e. for 1534,1067 is 1
LCM of denominators i.e. for 341,1521 is 518661.
Thus, GCF of Fractions is 1/518661.Finally, GCF of Fractions for 1534/341, 1067/1521 is 1/518661.