GCF of 2360/735, 8840/2959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2360/735, 8840/2959 i.e 40/2174865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2360/735, 8840/2959.
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 2360/735,8840/2959?
Given fractions are 2360/735,8840/2959
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 2360/735,8840/2959, numerators are 2360,8840
Denominators are 735,2959
The GCF of 2360,8840 is 40 .
LCM of 735,2959 is 2174865.
The greatest common factor of 2360/735,8840/2959 = [GCF of 2360,8840]/[LCM of 735,2959]= 40/2174865
Therefore, the GCF of 2360/735,8840/2959 is 40/2174865.
To find the highest common factor of 2360,8840, we have to find the factors of both numbers and list the highest common factor.
The factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The HCF of 2360,8840 is 40.
Lets's calculate GCF of 2360,8840
| 2 | 2360, 8840 |
| 2 | 1180, 4420 |
| 2 | 590, 2210 |
| 5 | 295, 1105 |
| 59, 221 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 2360,8840 By Matching Biggest Common Factor Method
Now, list down the factors of 2360
:1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Greatest Common Factor
We found the factors 2360,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 2360,8840 is 40.
Lets's calculate LCM of 735,2959
Given numbers has no common factors except 1. So, there LCM is their product i.e 2174865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/2174865
Therefore, the GCF of Fractions 2360/735,8840/2959 is 40/2174865
Least Common Multiple of 735,2959 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 735,2959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,2959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,2959) x common factors =1 x 1 = 1
LCM(735,2959) = ( 735 × 2959 ) / 1
LCM(735,2959) = 2174865 / 1
LCM(735,2959) = 2174865
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FAQs on GCF of Fractions of 2360/735, 8840/2959
1. What is the HCF of 2360,8840?
The HCF of 2360,8840 is 40
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 2360/735, 8840/2959?
Answer: GCF of Numerators as per given numbers 2360/735, 8840/2959 is
GCF of Numerators i.e. for 2360,8840 is 40
LCM of denominators i.e. for 735,2959 is 2174865.
Thus, GCF of Fractions is 40/2174865.Finally, GCF of Fractions for 2360/735, 8840/2959 is 40/2174865.