GCF of 7468/169, 1472/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7468/169, 1472/114 i.e 4/19266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7468/169, 1472/114.
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 7468/169,1472/114?
Given fractions are 7468/169,1472/114
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 7468/169,1472/114, numerators are 7468,1472
Denominators are 169,114
The GCF of 7468,1472 is 4 .
LCM of 169,114 is 19266.
The greatest common factor of 7468/169,1472/114 = [GCF of 7468,1472]/[LCM of 169,114]= 4/19266
Therefore, the GCF of 7468/169,1472/114 is 4/19266.
To find the highest common factor of 7468,1472, we have to find the factors of both numbers and list the highest common factor.
The factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472
The HCF of 7468,1472 is 4.
Lets's calculate GCF of 7468,1472
| 2 | 7468, 1472 |
| 2 | 3734, 736 |
| 1867, 368 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7468,1472 By Matching Biggest Common Factor Method
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Now, list down the factors of 1472
:1,2,4,8,16,23,32,46,64,92,184,368,736,1472
Greatest Common Factor
We found the factors 7468,1472 . The biggest common factor number is the GCF number.
So the greatest common factor 7468,1472 is 4.
Lets's calculate LCM of 169,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 19266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19266
Therefore, the GCF of Fractions 7468/169,1472/114 is 4/19266
Least Common Multiple of 169,114 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 169,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,114) x common factors =1 x 1 = 1
LCM(169,114) = ( 169 × 114 ) / 1
LCM(169,114) = 19266 / 1
LCM(169,114) = 19266
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FAQs on GCF of Fractions of 7468/169, 1472/114
1. What is the HCF of 7468,1472?
The HCF of 7468,1472 is 4
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 7468/169, 1472/114?
Answer: GCF of Numerators as per given numbers 7468/169, 1472/114 is
GCF of Numerators i.e. for 7468,1472 is 4
LCM of denominators i.e. for 169,114 is 19266.
Thus, GCF of Fractions is 4/19266.Finally, GCF of Fractions for 7468/169, 1472/114 is 4/19266.