GCF of 3520/783, 4724/1016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3520/783, 4724/1016 i.e 4/795528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3520/783, 4724/1016.
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 3520/783,4724/1016?
Given fractions are 3520/783,4724/1016
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 3520/783,4724/1016, numerators are 3520,4724
Denominators are 783,1016
The GCF of 3520,4724 is 4 .
LCM of 783,1016 is 795528.
The greatest common factor of 3520/783,4724/1016 = [GCF of 3520,4724]/[LCM of 783,1016]= 4/795528
Therefore, the GCF of 3520/783,4724/1016 is 4/795528.
To find the highest common factor of 3520,4724, we have to find the factors of both numbers and list the highest common factor.
The factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520
The factors of 4724 are 1, 2, 4, 1181, 2362, 4724
The HCF of 3520,4724 is 4.
Lets's calculate GCF of 3520,4724
| 2 | 3520, 4724 |
| 2 | 1760, 2362 |
| 880, 1181 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3520,4724 By Matching Biggest Common Factor Method
Now, list down the factors of 3520
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520
Now, list down the factors of 4724
:1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 3520,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,4724 is 4.
Lets's calculate LCM of 783,1016
Given numbers has no common factors except 1. So, there LCM is their product i.e 795528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/795528
Therefore, the GCF of Fractions 3520/783,4724/1016 is 4/795528
Least Common Multiple of 783,1016 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 783,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,1016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,1016) x common factors =1 x 1 = 1
LCM(783,1016) = ( 783 × 1016 ) / 1
LCM(783,1016) = 795528 / 1
LCM(783,1016) = 795528
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3520/783, 4724/1016
1. What is the HCF of 3520,4724?
The HCF of 3520,4724 is 4
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 3520/783, 4724/1016?
Answer: GCF of Numerators as per given numbers 3520/783, 4724/1016 is
GCF of Numerators i.e. for 3520,4724 is 4
LCM of denominators i.e. for 783,1016 is 795528.
Thus, GCF of Fractions is 4/795528.Finally, GCF of Fractions for 3520/783, 4724/1016 is 4/795528.