GCF of 7392/649, 7468/1758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7392/649, 7468/1758 i.e 4/1140942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7392/649, 7468/1758.
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 7392/649,7468/1758?
Given fractions are 7392/649,7468/1758
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 7392/649,7468/1758, numerators are 7392,7468
Denominators are 649,1758
The GCF of 7392,7468 is 4 .
LCM of 649,1758 is 1140942.
The greatest common factor of 7392/649,7468/1758 = [GCF of 7392,7468]/[LCM of 649,1758]= 4/1140942
Therefore, the GCF of 7392/649,7468/1758 is 4/1140942.
To find the highest common factor of 7392,7468, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The HCF of 7392,7468 is 4.
Lets's calculate GCF of 7392,7468
| 2 | 7392, 7468 |
| 2 | 3696, 3734 |
| 1848, 1867 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7392,7468 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Greatest Common Factor
We found the factors 7392,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 7392,7468 is 4.
Lets's calculate LCM of 649,1758
Given numbers has no common factors except 1. So, there LCM is their product i.e 1140942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1140942
Therefore, the GCF of Fractions 7392/649,7468/1758 is 4/1140942
Least Common Multiple of 649,1758 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 649,1758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,1758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,1758) x common factors =1 x 1 = 1
LCM(649,1758) = ( 649 × 1758 ) / 1
LCM(649,1758) = 1140942 / 1
LCM(649,1758) = 1140942
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FAQs on GCF of Fractions of 7392/649, 7468/1758
1. What is the HCF of 7392,7468?
The HCF of 7392,7468 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 7392/649, 7468/1758?
Answer: GCF of Numerators as per given numbers 7392/649, 7468/1758 is
GCF of Numerators i.e. for 7392,7468 is 4
LCM of denominators i.e. for 649,1758 is 1140942.
Thus, GCF of Fractions is 4/1140942.Finally, GCF of Fractions for 7392/649, 7468/1758 is 4/1140942.