GCF of 2960/359, 5302/5373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2960/359, 5302/5373 i.e 2/1928907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2960/359, 5302/5373.
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 2960/359,5302/5373?
Given fractions are 2960/359,5302/5373
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 2960/359,5302/5373, numerators are 2960,5302
Denominators are 359,5373
The GCF of 2960,5302 is 2 .
LCM of 359,5373 is 1928907.
The greatest common factor of 2960/359,5302/5373 = [GCF of 2960,5302]/[LCM of 359,5373]= 2/1928907
Therefore, the GCF of 2960/359,5302/5373 is 2/1928907.
To find the highest common factor of 2960,5302, we have to find the factors of both numbers and list the highest common factor.
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302
The HCF of 2960,5302 is 2.
Lets's calculate GCF of 2960,5302
| 2 | 2960, 5302 |
| 1480, 2651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2960,5302 By Matching Biggest Common Factor Method
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Now, list down the factors of 5302
:1,2,11,22,241,482,2651,5302
Greatest Common Factor
We found the factors 2960,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 2960,5302 is 2.
Lets's calculate LCM of 359,5373
Given numbers has no common factors except 1. So, there LCM is their product i.e 1928907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1928907
Therefore, the GCF of Fractions 2960/359,5302/5373 is 2/1928907
Least Common Multiple of 359,5373 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 359,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,5373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,5373) x common factors =1 x 1 = 1
LCM(359,5373) = ( 359 × 5373 ) / 1
LCM(359,5373) = 1928907 / 1
LCM(359,5373) = 1928907
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FAQs on GCF of Fractions of 2960/359, 5302/5373
1. What is the HCF of 2960,5302?
The HCF of 2960,5302 is 2
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 2960/359, 5302/5373?
Answer: GCF of Numerators as per given numbers 2960/359, 5302/5373 is
GCF of Numerators i.e. for 2960,5302 is 2
LCM of denominators i.e. for 359,5373 is 1928907.
Thus, GCF of Fractions is 2/1928907.Finally, GCF of Fractions for 2960/359, 5302/5373 is 2/1928907.