GCF of 1077/954, 7245/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1077/954, 7245/478 i.e 3/228006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1077/954, 7245/478.
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 1077/954,7245/478?
Given fractions are 1077/954,7245/478
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 1077/954,7245/478, numerators are 1077,7245
Denominators are 954,478
The GCF of 1077,7245 is 3 .
LCM of 954,478 is 228006.
The greatest common factor of 1077/954,7245/478 = [GCF of 1077,7245]/[LCM of 954,478]= 3/228006
Therefore, the GCF of 1077/954,7245/478 is 3/228006.
To find the highest common factor of 1077,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 1077 are 1, 3, 359, 1077
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 1077,7245 is 3.
Lets's calculate GCF of 1077,7245
| 3 | 1077, 7245 |
| 359, 2415 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1077,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 1077
:1,3,359,1077
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 1077,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 1077,7245 is 3.
Lets's calculate LCM of 954,478
| 2 | 954, 478 |
| 477, 239 |
∴ So the LCM of the given numbers is 2 x 477 x 239 = 228006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/228006
Therefore, the GCF of Fractions 1077/954,7245/478 is 3/228006
Least Common Multiple of 954,478 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 954,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,478) x common factors =2 x 1 = 2
LCM(954,478) = ( 954 × 478 ) / 2
LCM(954,478) = 456012 / 2
LCM(954,478) = 228006
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FAQs on GCF of Fractions of 1077/954, 7245/478
1. What is the HCF of 1077,7245?
The HCF of 1077,7245 is 3
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 1077/954, 7245/478?
Answer: GCF of Numerators as per given numbers 1077/954, 7245/478 is
GCF of Numerators i.e. for 1077,7245 is 3
LCM of denominators i.e. for 954,478 is 228006.
Thus, GCF of Fractions is 3/228006.Finally, GCF of Fractions for 1077/954, 7245/478 is 3/228006.