GCF of 7972/958, 7722/5539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7972/958, 7722/5539 i.e 2/5306362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7972/958, 7722/5539.
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 7972/958,7722/5539?
Given fractions are 7972/958,7722/5539
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 7972/958,7722/5539, numerators are 7972,7722
Denominators are 958,5539
The GCF of 7972,7722 is 2 .
LCM of 958,5539 is 5306362.
The greatest common factor of 7972/958,7722/5539 = [GCF of 7972,7722]/[LCM of 958,5539]= 2/5306362
Therefore, the GCF of 7972/958,7722/5539 is 2/5306362.
To find the highest common factor of 7972,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 7972 are 1, 2, 4, 1993, 3986, 7972
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 7972,7722 is 2.
Lets's calculate GCF of 7972,7722
| 2 | 7972, 7722 |
| 3986, 3861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7972,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 7972
:1,2,4,1993,3986,7972
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 7972,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 7972,7722 is 2.
Lets's calculate LCM of 958,5539
Given numbers has no common factors except 1. So, there LCM is their product i.e 5306362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5306362
Therefore, the GCF of Fractions 7972/958,7722/5539 is 2/5306362
Least Common Multiple of 958,5539 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 958,5539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,5539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,5539) x common factors =1 x 1 = 1
LCM(958,5539) = ( 958 × 5539 ) / 1
LCM(958,5539) = 5306362 / 1
LCM(958,5539) = 5306362
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FAQs on GCF of Fractions of 7972/958, 7722/5539
1. What is the HCF of 7972,7722?
The HCF of 7972,7722 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 7972/958, 7722/5539?
Answer: GCF of Numerators as per given numbers 7972/958, 7722/5539 is
GCF of Numerators i.e. for 7972,7722 is 2
LCM of denominators i.e. for 958,5539 is 5306362.
Thus, GCF of Fractions is 2/5306362.Finally, GCF of Fractions for 7972/958, 7722/5539 is 2/5306362.