GCF of 1430/977, 5853/7413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1430/977, 5853/7413 i.e 1/7242501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1430/977, 5853/7413.
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 1430/977,5853/7413?
Given fractions are 1430/977,5853/7413
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 1430/977,5853/7413, numerators are 1430,5853
Denominators are 977,7413
The GCF of 1430,5853 is 1 .
LCM of 977,7413 is 7242501.
The greatest common factor of 1430/977,5853/7413 = [GCF of 1430,5853]/[LCM of 977,7413]= 1/7242501
Therefore, the GCF of 1430/977,5853/7413 is 1/7242501.
To find the highest common factor of 1430,5853, we have to find the factors of both numbers and list the highest common factor.
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The factors of 5853 are 1, 3, 1951, 5853
The HCF of 1430,5853 is 1.
Lets's calculate GCF of 1430,5853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1430,5853 By Matching Biggest Common Factor Method
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Now, list down the factors of 5853
:1,3,1951,5853
Greatest Common Factor
We found the factors 1430,5853 . The biggest common factor number is the GCF number.
So the greatest common factor 1430,5853 is 1.
Lets's calculate LCM of 977,7413
Given numbers has no common factors except 1. So, there LCM is their product i.e 7242501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7242501
Therefore, the GCF of Fractions 1430/977,5853/7413 is 1/7242501
Least Common Multiple of 977,7413 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 977,7413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,7413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,7413) x common factors =1 x 1 = 1
LCM(977,7413) = ( 977 × 7413 ) / 1
LCM(977,7413) = 7242501 / 1
LCM(977,7413) = 7242501
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FAQs on GCF of Fractions of 1430/977, 5853/7413
1. What is the HCF of 1430,5853?
The HCF of 1430,5853 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 1430/977, 5853/7413?
Answer: GCF of Numerators as per given numbers 1430/977, 5853/7413 is
GCF of Numerators i.e. for 1430,5853 is 1
LCM of denominators i.e. for 977,7413 is 7242501.
Thus, GCF of Fractions is 1/7242501.Finally, GCF of Fractions for 1430/977, 5853/7413 is 1/7242501.