GCF of 1534/307, 6812/2122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1534/307, 6812/2122 i.e 26/651454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1534/307, 6812/2122.
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 1534/307,6812/2122?
Given fractions are 1534/307,6812/2122
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 1534/307,6812/2122, numerators are 1534,6812
Denominators are 307,2122
The GCF of 1534,6812 is 26 .
LCM of 307,2122 is 651454.
The greatest common factor of 1534/307,6812/2122 = [GCF of 1534,6812]/[LCM of 307,2122]= 26/651454
Therefore, the GCF of 1534/307,6812/2122 is 26/651454.
To find the highest common factor of 1534,6812, 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 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 1534,6812 is 26.
Lets's calculate GCF of 1534,6812
| 2 | 1534, 6812 |
| 13 | 767, 3406 |
| 59, 262 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1534,6812 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 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 1534,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 1534,6812 is 26.
Lets's calculate LCM of 307,2122
Given numbers has no common factors except 1. So, there LCM is their product i.e 651454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/651454
Therefore, the GCF of Fractions 1534/307,6812/2122 is 26/651454
Least Common Multiple of 307,2122 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 307,2122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,2122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,2122) x common factors =1 x 1 = 1
LCM(307,2122) = ( 307 × 2122 ) / 1
LCM(307,2122) = 651454 / 1
LCM(307,2122) = 651454
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FAQs on GCF of Fractions of 1534/307, 6812/2122
1. What is the HCF of 1534,6812?
The HCF of 1534,6812 is 26
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 1534/307, 6812/2122?
Answer: GCF of Numerators as per given numbers 1534/307, 6812/2122 is
GCF of Numerators i.e. for 1534,6812 is 26
LCM of denominators i.e. for 307,2122 is 651454.
Thus, GCF of Fractions is 26/651454.Finally, GCF of Fractions for 1534/307, 6812/2122 is 26/651454.