GCF of 7212/752, 5691/3474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7212/752, 5691/3474 i.e 3/1306224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7212/752, 5691/3474.
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 7212/752,5691/3474?
Given fractions are 7212/752,5691/3474
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 7212/752,5691/3474, numerators are 7212,5691
Denominators are 752,3474
The GCF of 7212,5691 is 3 .
LCM of 752,3474 is 1306224.
The greatest common factor of 7212/752,5691/3474 = [GCF of 7212,5691]/[LCM of 752,3474]= 3/1306224
Therefore, the GCF of 7212/752,5691/3474 is 3/1306224.
To find the highest common factor of 7212,5691, we have to find the factors of both numbers and list the highest common factor.
The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212
The factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691
The HCF of 7212,5691 is 3.
Lets's calculate GCF of 7212,5691
| 3 | 7212, 5691 |
| 2404, 1897 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7212,5691 By Matching Biggest Common Factor Method
Now, list down the factors of 7212
:1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Now, list down the factors of 5691
:1,3,7,21,271,813,1897,5691
Greatest Common Factor
We found the factors 7212,5691 . The biggest common factor number is the GCF number.
So the greatest common factor 7212,5691 is 3.
Lets's calculate LCM of 752,3474
| 2 | 752, 3474 |
| 376, 1737 |
∴ So the LCM of the given numbers is 2 x 376 x 1737 = 1306224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1306224
Therefore, the GCF of Fractions 7212/752,5691/3474 is 3/1306224
Least Common Multiple of 752,3474 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 752,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,3474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,3474) x common factors =2 x 1 = 2
LCM(752,3474) = ( 752 × 3474 ) / 2
LCM(752,3474) = 2612448 / 2
LCM(752,3474) = 1306224
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FAQs on GCF of Fractions of 7212/752, 5691/3474
1. What is the HCF of 7212,5691?
The HCF of 7212,5691 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 7212/752, 5691/3474?
Answer: GCF of Numerators as per given numbers 7212/752, 5691/3474 is
GCF of Numerators i.e. for 7212,5691 is 3
LCM of denominators i.e. for 752,3474 is 1306224.
Thus, GCF of Fractions is 3/1306224.Finally, GCF of Fractions for 7212/752, 5691/3474 is 3/1306224.