GCF of 637/655, 6720/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/655, 6720/500 i.e 7/65500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/655, 6720/500.
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 637/655,6720/500?
Given fractions are 637/655,6720/500
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 637/655,6720/500, numerators are 637,6720
Denominators are 655,500
The GCF of 637,6720 is 7 .
LCM of 655,500 is 65500.
The greatest common factor of 637/655,6720/500 = [GCF of 637,6720]/[LCM of 655,500]= 7/65500
Therefore, the GCF of 637/655,6720/500 is 7/65500.
To find the highest common factor of 637,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
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 637,6720 is 7.
Lets's calculate GCF of 637,6720
| 7 | 637, 6720 |
| 91, 960 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 637,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
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 637,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 637,6720 is 7.
Lets's calculate LCM of 655,500
| 5 | 655, 500 |
| 131, 100 |
∴ So the LCM of the given numbers is 5 x 131 x 100 = 65500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/65500
Therefore, the GCF of Fractions 637/655,6720/500 is 7/65500
Least Common Multiple of 655,500 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 655,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,500) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,500) x common factors =5 x 1 = 5
LCM(655,500) = ( 655 × 500 ) / 5
LCM(655,500) = 327500 / 5
LCM(655,500) = 65500
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FAQs on GCF of Fractions of 637/655, 6720/500
1. What is the HCF of 637,6720?
The HCF of 637,6720 is 7
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 637/655, 6720/500?
Answer: GCF of Numerators as per given numbers 637/655, 6720/500 is
GCF of Numerators i.e. for 637,6720 is 7
LCM of denominators i.e. for 655,500 is 65500.
Thus, GCF of Fractions is 7/65500.Finally, GCF of Fractions for 637/655, 6720/500 is 7/65500.