GCF of 4274/541, 7040/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4274/541, 7040/827 i.e 2/447407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4274/541, 7040/827.
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 4274/541,7040/827?
Given fractions are 4274/541,7040/827
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 4274/541,7040/827, numerators are 4274,7040
Denominators are 541,827
The GCF of 4274,7040 is 2 .
LCM of 541,827 is 447407.
The greatest common factor of 4274/541,7040/827 = [GCF of 4274,7040]/[LCM of 541,827]= 2/447407
Therefore, the GCF of 4274/541,7040/827 is 2/447407.
To find the highest common factor of 4274,7040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4274 are 1, 2, 2137, 4274
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The HCF of 4274,7040 is 2.
Lets's calculate GCF of 4274,7040
| 2 | 4274, 7040 |
| 2137, 3520 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4274,7040 By Matching Biggest Common Factor Method
Now, list down the factors of 4274
:1,2,2137,4274
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Greatest Common Factor
We found the factors 4274,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 4274,7040 is 2.
Lets's calculate LCM of 541,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 447407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/447407
Therefore, the GCF of Fractions 4274/541,7040/827 is 2/447407
Least Common Multiple of 541,827 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 541,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,827) x common factors =1 x 1 = 1
LCM(541,827) = ( 541 × 827 ) / 1
LCM(541,827) = 447407 / 1
LCM(541,827) = 447407
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FAQs on GCF of Fractions of 4274/541, 7040/827
1. What is the HCF of 4274,7040?
The HCF of 4274,7040 is 2
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 4274/541, 7040/827?
Answer: GCF of Numerators as per given numbers 4274/541, 7040/827 is
GCF of Numerators i.e. for 4274,7040 is 2
LCM of denominators i.e. for 541,827 is 447407.
Thus, GCF of Fractions is 2/447407.Finally, GCF of Fractions for 4274/541, 7040/827 is 2/447407.