GCF of 252/269, 749/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 252/269, 749/114 i.e 7/30666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/269, 749/114.
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 252/269,749/114?
Given fractions are 252/269,749/114
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 252/269,749/114, numerators are 252,749
Denominators are 269,114
The GCF of 252,749 is 7 .
LCM of 269,114 is 30666.
The greatest common factor of 252/269,749/114 = [GCF of 252,749]/[LCM of 269,114]= 7/30666
Therefore, the GCF of 252/269,749/114 is 7/30666.
To find the highest common factor of 252,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 749 are 1, 7, 107, 749
The HCF of 252,749 is 7.
Lets's calculate GCF of 252,749
| 7 | 252, 749 |
| 36, 107 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 252,749 By Matching Biggest Common Factor Method
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 252,749 . The biggest common factor number is the GCF number.
So the greatest common factor 252,749 is 7.
Lets's calculate LCM of 269,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 30666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/30666
Therefore, the GCF of Fractions 252/269,749/114 is 7/30666
Least Common Multiple of 269,114 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 269,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,114) x common factors =1 x 1 = 1
LCM(269,114) = ( 269 × 114 ) / 1
LCM(269,114) = 30666 / 1
LCM(269,114) = 30666
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FAQs on GCF of Fractions of 252/269, 749/114
1. What is the HCF of 252,749?
The HCF of 252,749 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 252/269, 749/114?
Answer: GCF of Numerators as per given numbers 252/269, 749/114 is
GCF of Numerators i.e. for 252,749 is 7
LCM of denominators i.e. for 269,114 is 30666.
Thus, GCF of Fractions is 7/30666.Finally, GCF of Fractions for 252/269, 749/114 is 7/30666.