GCF of 1013/302, 1129/2840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1013/302, 1129/2840 i.e 1/428840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1013/302, 1129/2840.
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 1013/302,1129/2840?
Given fractions are 1013/302,1129/2840
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 1013/302,1129/2840, numerators are 1013,1129
Denominators are 302,2840
The GCF of 1013,1129 is 1 .
LCM of 302,2840 is 428840.
The greatest common factor of 1013/302,1129/2840 = [GCF of 1013,1129]/[LCM of 302,2840]= 1/428840
Therefore, the GCF of 1013/302,1129/2840 is 1/428840.
To find the highest common factor of 1013,1129, we have to find the factors of both numbers and list the highest common factor.
The factors of 1013 are 1, 1013
The factors of 1129 are 1, 1129
The HCF of 1013,1129 is 1.
Lets's calculate GCF of 1013,1129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1013,1129 By Matching Biggest Common Factor Method
Now, list down the factors of 1013
:1,1013
Now, list down the factors of 1129
:1,1129
Greatest Common Factor
We found the factors 1013,1129 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,1129 is 1.
Lets's calculate LCM of 302,2840
| 2 | 302, 2840 |
| 151, 1420 |
∴ So the LCM of the given numbers is 2 x 151 x 1420 = 428840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428840
Therefore, the GCF of Fractions 1013/302,1129/2840 is 1/428840
Least Common Multiple of 302,2840 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 302,2840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,2840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,2840) x common factors =2 x 1 = 2
LCM(302,2840) = ( 302 × 2840 ) / 2
LCM(302,2840) = 857680 / 2
LCM(302,2840) = 428840
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FAQs on GCF of Fractions of 1013/302, 1129/2840
1. What is the HCF of 1013,1129?
The HCF of 1013,1129 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 1013/302, 1129/2840?
Answer: GCF of Numerators as per given numbers 1013/302, 1129/2840 is
GCF of Numerators i.e. for 1013,1129 is 1
LCM of denominators i.e. for 302,2840 is 428840.
Thus, GCF of Fractions is 1/428840.Finally, GCF of Fractions for 1013/302, 1129/2840 is 1/428840.