GCF of 2435/116, 6720/8520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2435/116, 6720/8520 i.e 5/247080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2435/116, 6720/8520.
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 2435/116,6720/8520?
Given fractions are 2435/116,6720/8520
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 2435/116,6720/8520, numerators are 2435,6720
Denominators are 116,8520
The GCF of 2435,6720 is 5 .
LCM of 116,8520 is 247080.
The greatest common factor of 2435/116,6720/8520 = [GCF of 2435,6720]/[LCM of 116,8520]= 5/247080
Therefore, the GCF of 2435/116,6720/8520 is 5/247080.
To find the highest common factor of 2435,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 2435 are 1, 5, 487, 2435
The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720
The HCF of 2435,6720 is 5.
Lets's calculate GCF of 2435,6720
| 5 | 2435, 6720 |
| 487, 1344 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2435,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 2435
:1,5,487,2435
Now, list down the factors of 6720
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 2435,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 2435,6720 is 5.
Lets's calculate LCM of 116,8520
| 2 | 116, 8520 |
| 2 | 58, 4260 |
| 29, 2130 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 2130 = 247080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/247080
Therefore, the GCF of Fractions 2435/116,6720/8520 is 5/247080
Least Common Multiple of 116,8520 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 116,8520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,8520) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,8520) x common factors =4 x 1 = 4
LCM(116,8520) = ( 116 × 8520 ) / 4
LCM(116,8520) = 988320 / 4
LCM(116,8520) = 247080
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2435/116, 6720/8520
1. What is the HCF of 2435,6720?
The HCF of 2435,6720 is 5
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 2435/116, 6720/8520?
Answer: GCF of Numerators as per given numbers 2435/116, 6720/8520 is
GCF of Numerators i.e. for 2435,6720 is 5
LCM of denominators i.e. for 116,8520 is 247080.
Thus, GCF of Fractions is 5/247080.Finally, GCF of Fractions for 2435/116, 6720/8520 is 5/247080.