GCF of 4835/782, 3540/7603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4835/782, 3540/7603 i.e 5/5945546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4835/782, 3540/7603.
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 4835/782,3540/7603?
Given fractions are 4835/782,3540/7603
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 4835/782,3540/7603, numerators are 4835,3540
Denominators are 782,7603
The GCF of 4835,3540 is 5 .
LCM of 782,7603 is 5945546.
The greatest common factor of 4835/782,3540/7603 = [GCF of 4835,3540]/[LCM of 782,7603]= 5/5945546
Therefore, the GCF of 4835/782,3540/7603 is 5/5945546.
To find the highest common factor of 4835,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 4835 are 1, 5, 967, 4835
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 4835,3540 is 5.
Lets's calculate GCF of 4835,3540
| 5 | 4835, 3540 |
| 967, 708 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4835,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 4835
:1,5,967,4835
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 4835,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 4835,3540 is 5.
Lets's calculate LCM of 782,7603
Given numbers has no common factors except 1. So, there LCM is their product i.e 5945546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5945546
Therefore, the GCF of Fractions 4835/782,3540/7603 is 5/5945546
Least Common Multiple of 782,7603 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 782,7603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,7603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,7603) x common factors =1 x 1 = 1
LCM(782,7603) = ( 782 × 7603 ) / 1
LCM(782,7603) = 5945546 / 1
LCM(782,7603) = 5945546
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FAQs on GCF of Fractions of 4835/782, 3540/7603
1. What is the HCF of 4835,3540?
The HCF of 4835,3540 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 4835/782, 3540/7603?
Answer: GCF of Numerators as per given numbers 4835/782, 3540/7603 is
GCF of Numerators i.e. for 4835,3540 is 5
LCM of denominators i.e. for 782,7603 is 5945546.
Thus, GCF of Fractions is 5/5945546.Finally, GCF of Fractions for 4835/782, 3540/7603 is 5/5945546.