GCF of 2976/953, 4129/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2976/953, 4129/582 i.e 1/554646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2976/953, 4129/582.
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 2976/953,4129/582?
Given fractions are 2976/953,4129/582
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 2976/953,4129/582, numerators are 2976,4129
Denominators are 953,582
The GCF of 2976,4129 is 1 .
LCM of 953,582 is 554646.
The greatest common factor of 2976/953,4129/582 = [GCF of 2976,4129]/[LCM of 953,582]= 1/554646
Therefore, the GCF of 2976/953,4129/582 is 1/554646.
To find the highest common factor of 2976,4129, we have to find the factors of both numbers and list the highest common factor.
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The factors of 4129 are 1, 4129
The HCF of 2976,4129 is 1.
Lets's calculate GCF of 2976,4129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2976,4129 By Matching Biggest Common Factor Method
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Now, list down the factors of 4129
:1,4129
Greatest Common Factor
We found the factors 2976,4129 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,4129 is 1.
Lets's calculate LCM of 953,582
Given numbers has no common factors except 1. So, there LCM is their product i.e 554646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554646
Therefore, the GCF of Fractions 2976/953,4129/582 is 1/554646
Least Common Multiple of 953,582 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 953,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,582) x common factors =1 x 1 = 1
LCM(953,582) = ( 953 × 582 ) / 1
LCM(953,582) = 554646 / 1
LCM(953,582) = 554646
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FAQs on GCF of Fractions of 2976/953, 4129/582
1. What is the HCF of 2976,4129?
The HCF of 2976,4129 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 2976/953, 4129/582?
Answer: GCF of Numerators as per given numbers 2976/953, 4129/582 is
GCF of Numerators i.e. for 2976,4129 is 1
LCM of denominators i.e. for 953,582 is 554646.
Thus, GCF of Fractions is 1/554646.Finally, GCF of Fractions for 2976/953, 4129/582 is 1/554646.