GCF of 7844/632, 1406/3052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7844/632, 1406/3052 i.e 74/482216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7844/632, 1406/3052.
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 7844/632,1406/3052?
Given fractions are 7844/632,1406/3052
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 7844/632,1406/3052, numerators are 7844,1406
Denominators are 632,3052
The GCF of 7844,1406 is 74 .
LCM of 632,3052 is 482216.
The greatest common factor of 7844/632,1406/3052 = [GCF of 7844,1406]/[LCM of 632,3052]= 74/482216
Therefore, the GCF of 7844/632,1406/3052 is 74/482216.
To find the highest common factor of 7844,1406, we have to find the factors of both numbers and list the highest common factor.
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406
The HCF of 7844,1406 is 74.
Lets's calculate GCF of 7844,1406
| 2 | 7844, 1406 |
| 37 | 3922, 703 |
| 106, 19 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 7844,1406 By Matching Biggest Common Factor Method
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Now, list down the factors of 1406
:1,2,19,37,38,74,703,1406
Greatest Common Factor
We found the factors 7844,1406 . The biggest common factor number is the GCF number.
So the greatest common factor 7844,1406 is 74.
Lets's calculate LCM of 632,3052
| 2 | 632, 3052 |
| 2 | 316, 1526 |
| 158, 763 |
∴ So the LCM of the given numbers is 2 x 2 x 158 x 763 = 482216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/482216
Therefore, the GCF of Fractions 7844/632,1406/3052 is 74/482216
Least Common Multiple of 632,3052 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 632,3052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,3052) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(632,3052) x common factors =4 x 1 = 4
LCM(632,3052) = ( 632 × 3052 ) / 4
LCM(632,3052) = 1928864 / 4
LCM(632,3052) = 482216
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FAQs on GCF of Fractions of 7844/632, 1406/3052
1. What is the HCF of 7844,1406?
The HCF of 7844,1406 is 74
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 7844/632, 1406/3052?
Answer: GCF of Numerators as per given numbers 7844/632, 1406/3052 is
GCF of Numerators i.e. for 7844,1406 is 74
LCM of denominators i.e. for 632,3052 is 482216.
Thus, GCF of Fractions is 74/482216.Finally, GCF of Fractions for 7844/632, 1406/3052 is 74/482216.