GCF of 7048/942, 1409/7794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/942, 1409/7794 i.e 1/1223658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/942, 1409/7794.
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 7048/942,1409/7794?
Given fractions are 7048/942,1409/7794
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 7048/942,1409/7794, numerators are 7048,1409
Denominators are 942,7794
The GCF of 7048,1409 is 1 .
LCM of 942,7794 is 1223658.
The greatest common factor of 7048/942,1409/7794 = [GCF of 7048,1409]/[LCM of 942,7794]= 1/1223658
Therefore, the GCF of 7048/942,1409/7794 is 1/1223658.
To find the highest common factor of 7048,1409, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 1409 are 1, 1409
The HCF of 7048,1409 is 1.
Lets's calculate GCF of 7048,1409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7048,1409 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 1409
:1,1409
Greatest Common Factor
We found the factors 7048,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,1409 is 1.
Lets's calculate LCM of 942,7794
| 2 | 942, 7794 |
| 3 | 471, 3897 |
| 157, 1299 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 1299 = 1223658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1223658
Therefore, the GCF of Fractions 7048/942,1409/7794 is 1/1223658
Least Common Multiple of 942,7794 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 942,7794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,7794) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,7794) x common factors =6 x 1 = 6
LCM(942,7794) = ( 942 × 7794 ) / 6
LCM(942,7794) = 7341948 / 6
LCM(942,7794) = 1223658
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FAQs on GCF of Fractions of 7048/942, 1409/7794
1. What is the HCF of 7048,1409?
The HCF of 7048,1409 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 7048/942, 1409/7794?
Answer: GCF of Numerators as per given numbers 7048/942, 1409/7794 is
GCF of Numerators i.e. for 7048,1409 is 1
LCM of denominators i.e. for 942,7794 is 1223658.
Thus, GCF of Fractions is 1/1223658.Finally, GCF of Fractions for 7048/942, 1409/7794 is 1/1223658.