GCF of 4235/750, 7840/1605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4235/750, 7840/1605 i.e 35/80250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4235/750, 7840/1605.
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 4235/750,7840/1605?
Given fractions are 4235/750,7840/1605
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 4235/750,7840/1605, numerators are 4235,7840
Denominators are 750,1605
The GCF of 4235,7840 is 35 .
LCM of 750,1605 is 80250.
The greatest common factor of 4235/750,7840/1605 = [GCF of 4235,7840]/[LCM of 750,1605]= 35/80250
Therefore, the GCF of 4235/750,7840/1605 is 35/80250.
To find the highest common factor of 4235,7840, we have to find the factors of both numbers and list the highest common factor.
The factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The HCF of 4235,7840 is 35.
Lets's calculate GCF of 4235,7840
| 5 | 4235, 7840 |
| 7 | 847, 1568 |
| 121, 224 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 4235,7840 By Matching Biggest Common Factor Method
Now, list down the factors of 4235
:1,5,7,11,35,55,77,121,385,605,847,4235
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Greatest Common Factor
We found the factors 4235,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 4235,7840 is 35.
Lets's calculate LCM of 750,1605
| 3 | 750, 1605 |
| 5 | 250, 535 |
| 50, 107 |
∴ So the LCM of the given numbers is 3 x 5 x 50 x 107 = 80250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/80250
Therefore, the GCF of Fractions 4235/750,7840/1605 is 35/80250
Least Common Multiple of 750,1605 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 750,1605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,1605) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(750,1605) x common factors =15 x 1 = 15
LCM(750,1605) = ( 750 × 1605 ) / 15
LCM(750,1605) = 1203750 / 15
LCM(750,1605) = 80250
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FAQs on GCF of Fractions of 4235/750, 7840/1605
1. What is the HCF of 4235,7840?
The HCF of 4235,7840 is 35
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 4235/750, 7840/1605?
Answer: GCF of Numerators as per given numbers 4235/750, 7840/1605 is
GCF of Numerators i.e. for 4235,7840 is 35
LCM of denominators i.e. for 750,1605 is 80250.
Thus, GCF of Fractions is 35/80250.Finally, GCF of Fractions for 4235/750, 7840/1605 is 35/80250.