GCF of 7426/647, 5544/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7426/647, 5544/206 i.e 2/133282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7426/647, 5544/206.
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 7426/647,5544/206?
Given fractions are 7426/647,5544/206
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 7426/647,5544/206, numerators are 7426,5544
Denominators are 647,206
The GCF of 7426,5544 is 2 .
LCM of 647,206 is 133282.
The greatest common factor of 7426/647,5544/206 = [GCF of 7426,5544]/[LCM of 647,206]= 2/133282
Therefore, the GCF of 7426/647,5544/206 is 2/133282.
To find the highest common factor of 7426,5544, we have to find the factors of both numbers and list the highest common factor.
The factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426
The factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544
The HCF of 7426,5544 is 2.
Lets's calculate GCF of 7426,5544
| 2 | 7426, 5544 |
| 3713, 2772 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7426,5544 By Matching Biggest Common Factor Method
Now, list down the factors of 7426
:1,2,47,79,94,158,3713,7426
Now, list down the factors of 5544
:1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Greatest Common Factor
We found the factors 7426,5544 . The biggest common factor number is the GCF number.
So the greatest common factor 7426,5544 is 2.
Lets's calculate LCM of 647,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 133282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133282
Therefore, the GCF of Fractions 7426/647,5544/206 is 2/133282
Least Common Multiple of 647,206 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 647,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,206) x common factors =1 x 1 = 1
LCM(647,206) = ( 647 × 206 ) / 1
LCM(647,206) = 133282 / 1
LCM(647,206) = 133282
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FAQs on GCF of Fractions of 7426/647, 5544/206
1. What is the HCF of 7426,5544?
The HCF of 7426,5544 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 7426/647, 5544/206?
Answer: GCF of Numerators as per given numbers 7426/647, 5544/206 is
GCF of Numerators i.e. for 7426,5544 is 2
LCM of denominators i.e. for 647,206 is 133282.
Thus, GCF of Fractions is 2/133282.Finally, GCF of Fractions for 7426/647, 5544/206 is 2/133282.