GCF of 2480/435, 3700/4702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2480/435, 3700/4702 i.e 20/2045370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2480/435, 3700/4702.
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 2480/435,3700/4702?
Given fractions are 2480/435,3700/4702
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 2480/435,3700/4702, numerators are 2480,3700
Denominators are 435,4702
The GCF of 2480,3700 is 20 .
LCM of 435,4702 is 2045370.
The greatest common factor of 2480/435,3700/4702 = [GCF of 2480,3700]/[LCM of 435,4702]= 20/2045370
Therefore, the GCF of 2480/435,3700/4702 is 20/2045370.
To find the highest common factor of 2480,3700, we have to find the factors of both numbers and list the highest common factor.
The factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480
The factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
The HCF of 2480,3700 is 20.
Lets's calculate GCF of 2480,3700
| 2 | 2480, 3700 |
| 2 | 1240, 1850 |
| 5 | 620, 925 |
| 124, 185 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 2480,3700 By Matching Biggest Common Factor Method
Now, list down the factors of 2480
:1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480
Now, list down the factors of 3700
:1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Greatest Common Factor
We found the factors 2480,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 2480,3700 is 20.
Lets's calculate LCM of 435,4702
Given numbers has no common factors except 1. So, there LCM is their product i.e 2045370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2045370
Therefore, the GCF of Fractions 2480/435,3700/4702 is 20/2045370
Least Common Multiple of 435,4702 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 435,4702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,4702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,4702) x common factors =1 x 1 = 1
LCM(435,4702) = ( 435 × 4702 ) / 1
LCM(435,4702) = 2045370 / 1
LCM(435,4702) = 2045370
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FAQs on GCF of Fractions of 2480/435, 3700/4702
1. What is the HCF of 2480,3700?
The HCF of 2480,3700 is 20
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 2480/435, 3700/4702?
Answer: GCF of Numerators as per given numbers 2480/435, 3700/4702 is
GCF of Numerators i.e. for 2480,3700 is 20
LCM of denominators i.e. for 435,4702 is 2045370.
Thus, GCF of Fractions is 20/2045370.Finally, GCF of Fractions for 2480/435, 3700/4702 is 20/2045370.