GCF of 3523/872, 7392/9712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3523/872, 7392/9712 i.e 1/1058608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3523/872, 7392/9712.
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 3523/872,7392/9712?
Given fractions are 3523/872,7392/9712
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 3523/872,7392/9712, numerators are 3523,7392
Denominators are 872,9712
The GCF of 3523,7392 is 1 .
LCM of 872,9712 is 1058608.
The greatest common factor of 3523/872,7392/9712 = [GCF of 3523,7392]/[LCM of 872,9712]= 1/1058608
Therefore, the GCF of 3523/872,7392/9712 is 1/1058608.
To find the highest common factor of 3523,7392, we have to find the factors of both numbers and list the highest common factor.
The factors of 3523 are 1, 13, 271, 3523
The factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392
The HCF of 3523,7392 is 1.
Lets's calculate GCF of 3523,7392
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3523,7392 By Matching Biggest Common Factor Method
Now, list down the factors of 3523
:1,13,271,3523
Now, list down the factors of 7392
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392
Greatest Common Factor
We found the factors 3523,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 3523,7392 is 1.
Lets's calculate LCM of 872,9712
| 2 | 872, 9712 |
| 2 | 436, 4856 |
| 2 | 218, 2428 |
| 109, 1214 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 1214 = 1058608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058608
Therefore, the GCF of Fractions 3523/872,7392/9712 is 1/1058608
Least Common Multiple of 872,9712 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 872,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,9712) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,9712) x common factors =8 x 1 = 8
LCM(872,9712) = ( 872 × 9712 ) / 8
LCM(872,9712) = 8468864 / 8
LCM(872,9712) = 1058608
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3523/872, 7392/9712
1. What is the HCF of 3523,7392?
The HCF of 3523,7392 is 1
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 3523/872, 7392/9712?
Answer: GCF of Numerators as per given numbers 3523/872, 7392/9712 is
GCF of Numerators i.e. for 3523,7392 is 1
LCM of denominators i.e. for 872,9712 is 1058608.
Thus, GCF of Fractions is 1/1058608.Finally, GCF of Fractions for 3523/872, 7392/9712 is 1/1058608.