GCF of 226/79, 748/119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/79, 748/119 i.e 2/9401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/79, 748/119.
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 226/79,748/119?
Given fractions are 226/79,748/119
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 226/79,748/119, numerators are 226,748
Denominators are 79,119
The GCF of 226,748 is 2 .
LCM of 79,119 is 9401.
The greatest common factor of 226/79,748/119 = [GCF of 226,748]/[LCM of 79,119]= 2/9401
Therefore, the GCF of 226/79,748/119 is 2/9401.
To find the highest common factor of 226,748, we have to find the factors of both numbers and list the highest common factor.
The factors of 226 are 1, 2, 113, 226
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The HCF of 226,748 is 2.
Lets's calculate GCF of 226,748
| 2 | 226, 748 |
| 113, 374 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 226,748 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 226,748 . The biggest common factor number is the GCF number.
So the greatest common factor 226,748 is 2.
Lets's calculate LCM of 79,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 9401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9401
Therefore, the GCF of Fractions 226/79,748/119 is 2/9401
Least Common Multiple of 79,119 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 79,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,119) x common factors =1 x 1 = 1
LCM(79,119) = ( 79 × 119 ) / 1
LCM(79,119) = 9401 / 1
LCM(79,119) = 9401
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FAQs on GCF of Fractions of 226/79, 748/119
1. What is the HCF of 226,748?
The HCF of 226,748 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 226/79, 748/119?
Answer: GCF of Numerators as per given numbers 226/79, 748/119 is
GCF of Numerators i.e. for 226,748 is 2
LCM of denominators i.e. for 79,119 is 9401.
Thus, GCF of Fractions is 2/9401.Finally, GCF of Fractions for 226/79, 748/119 is 2/9401.