GCF of 253/74, 649/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 253/74, 649/121 i.e 11/8954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/74, 649/121.
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 253/74,649/121?
Given fractions are 253/74,649/121
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 253/74,649/121, numerators are 253,649
Denominators are 74,121
The GCF of 253,649 is 11 .
LCM of 74,121 is 8954.
The greatest common factor of 253/74,649/121 = [GCF of 253,649]/[LCM of 74,121]= 11/8954
Therefore, the GCF of 253/74,649/121 is 11/8954.
To find the highest common factor of 253,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 253 are 1, 11, 23, 253
The factors of 649 are 1, 11, 59, 649
The HCF of 253,649 is 11.
Lets's calculate GCF of 253,649
| 11 | 253, 649 |
| 23, 59 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 253,649 By Matching Biggest Common Factor Method
Now, list down the factors of 253
:1,11,23,253
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 253,649 . The biggest common factor number is the GCF number.
So the greatest common factor 253,649 is 11.
Lets's calculate LCM of 74,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 8954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8954
Therefore, the GCF of Fractions 253/74,649/121 is 11/8954
Least Common Multiple of 74,121 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 74,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,121) x common factors =1 x 1 = 1
LCM(74,121) = ( 74 × 121 ) / 1
LCM(74,121) = 8954 / 1
LCM(74,121) = 8954
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FAQs on GCF of Fractions of 253/74, 649/121
1. What is the HCF of 253,649?
The HCF of 253,649 is 11
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 253/74, 649/121?
Answer: GCF of Numerators as per given numbers 253/74, 649/121 is
GCF of Numerators i.e. for 253,649 is 11
LCM of denominators i.e. for 74,121 is 8954.
Thus, GCF of Fractions is 11/8954.Finally, GCF of Fractions for 253/74, 649/121 is 11/8954.