GCF of 7252/943, 3164/3418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7252/943, 3164/3418 i.e 28/3223174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7252/943, 3164/3418.
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 7252/943,3164/3418?
Given fractions are 7252/943,3164/3418
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 7252/943,3164/3418, numerators are 7252,3164
Denominators are 943,3418
The GCF of 7252,3164 is 28 .
LCM of 943,3418 is 3223174.
The greatest common factor of 7252/943,3164/3418 = [GCF of 7252,3164]/[LCM of 943,3418]= 28/3223174
Therefore, the GCF of 7252/943,3164/3418 is 28/3223174.
To find the highest common factor of 7252,3164, we have to find the factors of both numbers and list the highest common factor.
The factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252
The factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164
The HCF of 7252,3164 is 28.
Lets's calculate GCF of 7252,3164
| 2 | 7252, 3164 |
| 2 | 3626, 1582 |
| 7 | 1813, 791 |
| 259, 113 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7252,3164 By Matching Biggest Common Factor Method
Now, list down the factors of 7252
:1,2,4,7,14,28,37,49,74,98,148,196,259,518,1036,1813,3626,7252
Now, list down the factors of 3164
:1,2,4,7,14,28,113,226,452,791,1582,3164
Greatest Common Factor
We found the factors 7252,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 7252,3164 is 28.
Lets's calculate LCM of 943,3418
Given numbers has no common factors except 1. So, there LCM is their product i.e 3223174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/3223174
Therefore, the GCF of Fractions 7252/943,3164/3418 is 28/3223174
Least Common Multiple of 943,3418 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 943,3418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,3418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,3418) x common factors =1 x 1 = 1
LCM(943,3418) = ( 943 × 3418 ) / 1
LCM(943,3418) = 3223174 / 1
LCM(943,3418) = 3223174
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FAQs on GCF of Fractions of 7252/943, 3164/3418
1. What is the HCF of 7252,3164?
The HCF of 7252,3164 is 28
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 7252/943, 3164/3418?
Answer: GCF of Numerators as per given numbers 7252/943, 3164/3418 is
GCF of Numerators i.e. for 7252,3164 is 28
LCM of denominators i.e. for 943,3418 is 3223174.
Thus, GCF of Fractions is 28/3223174.Finally, GCF of Fractions for 7252/943, 3164/3418 is 28/3223174.