GCF of 3053/129, 7312/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3053/129, 7312/169 i.e 1/21801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3053/129, 7312/169.
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 3053/129,7312/169?
Given fractions are 3053/129,7312/169
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 3053/129,7312/169, numerators are 3053,7312
Denominators are 129,169
The GCF of 3053,7312 is 1 .
LCM of 129,169 is 21801.
The greatest common factor of 3053/129,7312/169 = [GCF of 3053,7312]/[LCM of 129,169]= 1/21801
Therefore, the GCF of 3053/129,7312/169 is 1/21801.
To find the highest common factor of 3053,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 3053 are 1, 43, 71, 3053
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 3053,7312 is 1.
Lets's calculate GCF of 3053,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3053,7312 By Matching Biggest Common Factor Method
Now, list down the factors of 3053
:1,43,71,3053
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 3053,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 3053,7312 is 1.
Lets's calculate LCM of 129,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 21801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21801
Therefore, the GCF of Fractions 3053/129,7312/169 is 1/21801
Least Common Multiple of 129,169 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 129,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,169) x common factors =1 x 1 = 1
LCM(129,169) = ( 129 × 169 ) / 1
LCM(129,169) = 21801 / 1
LCM(129,169) = 21801
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FAQs on GCF of Fractions of 3053/129, 7312/169
1. What is the HCF of 3053,7312?
The HCF of 3053,7312 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 3053/129, 7312/169?
Answer: GCF of Numerators as per given numbers 3053/129, 7312/169 is
GCF of Numerators i.e. for 3053,7312 is 1
LCM of denominators i.e. for 129,169 is 21801.
Thus, GCF of Fractions is 1/21801.Finally, GCF of Fractions for 3053/129, 7312/169 is 1/21801.