GCF of 2527/324, 2912/1211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2527/324, 2912/1211 i.e 7/392364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2527/324, 2912/1211.
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 2527/324,2912/1211?
Given fractions are 2527/324,2912/1211
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 2527/324,2912/1211, numerators are 2527,2912
Denominators are 324,1211
The GCF of 2527,2912 is 7 .
LCM of 324,1211 is 392364.
The greatest common factor of 2527/324,2912/1211 = [GCF of 2527,2912]/[LCM of 324,1211]= 7/392364
Therefore, the GCF of 2527/324,2912/1211 is 7/392364.
To find the highest common factor of 2527,2912, we have to find the factors of both numbers and list the highest common factor.
The factors of 2527 are 1, 7, 19, 133, 361, 2527
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The HCF of 2527,2912 is 7.
Lets's calculate GCF of 2527,2912
| 7 | 2527, 2912 |
| 361, 416 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2527,2912 By Matching Biggest Common Factor Method
Now, list down the factors of 2527
:1,7,19,133,361,2527
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Greatest Common Factor
We found the factors 2527,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 2527,2912 is 7.
Lets's calculate LCM of 324,1211
Given numbers has no common factors except 1. So, there LCM is their product i.e 392364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/392364
Therefore, the GCF of Fractions 2527/324,2912/1211 is 7/392364
Least Common Multiple of 324,1211 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 324,1211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,1211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,1211) x common factors =1 x 1 = 1
LCM(324,1211) = ( 324 × 1211 ) / 1
LCM(324,1211) = 392364 / 1
LCM(324,1211) = 392364
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FAQs on GCF of Fractions of 2527/324, 2912/1211
1. What is the HCF of 2527,2912?
The HCF of 2527,2912 is 7
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 2527/324, 2912/1211?
Answer: GCF of Numerators as per given numbers 2527/324, 2912/1211 is
GCF of Numerators i.e. for 2527,2912 is 7
LCM of denominators i.e. for 324,1211 is 392364.
Thus, GCF of Fractions is 7/392364.Finally, GCF of Fractions for 2527/324, 2912/1211 is 7/392364.