GCF of 2653/142, 1259/1609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2653/142, 1259/1609 i.e 1/228478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2653/142, 1259/1609.
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 2653/142,1259/1609?
Given fractions are 2653/142,1259/1609
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 2653/142,1259/1609, numerators are 2653,1259
Denominators are 142,1609
The GCF of 2653,1259 is 1 .
LCM of 142,1609 is 228478.
The greatest common factor of 2653/142,1259/1609 = [GCF of 2653,1259]/[LCM of 142,1609]= 1/228478
Therefore, the GCF of 2653/142,1259/1609 is 1/228478.
To find the highest common factor of 2653,1259, we have to find the factors of both numbers and list the highest common factor.
The factors of 2653 are 1, 7, 379, 2653
The factors of 1259 are 1, 1259
The HCF of 2653,1259 is 1.
Lets's calculate GCF of 2653,1259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2653,1259 By Matching Biggest Common Factor Method
Now, list down the factors of 2653
:1,7,379,2653
Now, list down the factors of 1259
:1,1259
Greatest Common Factor
We found the factors 2653,1259 . The biggest common factor number is the GCF number.
So the greatest common factor 2653,1259 is 1.
Lets's calculate LCM of 142,1609
Given numbers has no common factors except 1. So, there LCM is their product i.e 228478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228478
Therefore, the GCF of Fractions 2653/142,1259/1609 is 1/228478
Least Common Multiple of 142,1609 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 142,1609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,1609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,1609) x common factors =1 x 1 = 1
LCM(142,1609) = ( 142 × 1609 ) / 1
LCM(142,1609) = 228478 / 1
LCM(142,1609) = 228478
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FAQs on GCF of Fractions of 2653/142, 1259/1609
1. What is the HCF of 2653,1259?
The HCF of 2653,1259 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 2653/142, 1259/1609?
Answer: GCF of Numerators as per given numbers 2653/142, 1259/1609 is
GCF of Numerators i.e. for 2653,1259 is 1
LCM of denominators i.e. for 142,1609 is 228478.
Thus, GCF of Fractions is 1/228478.Finally, GCF of Fractions for 2653/142, 1259/1609 is 1/228478.