GCF of 1672/314, 7543/8964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1672/314, 7543/8964 i.e 19/1407348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1672/314, 7543/8964.
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 1672/314,7543/8964?
Given fractions are 1672/314,7543/8964
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 1672/314,7543/8964, numerators are 1672,7543
Denominators are 314,8964
The GCF of 1672,7543 is 19 .
LCM of 314,8964 is 1407348.
The greatest common factor of 1672/314,7543/8964 = [GCF of 1672,7543]/[LCM of 314,8964]= 19/1407348
Therefore, the GCF of 1672/314,7543/8964 is 19/1407348.
To find the highest common factor of 1672,7543, we have to find the factors of both numbers and list the highest common factor.
The factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672
The factors of 7543 are 1, 19, 397, 7543
The HCF of 1672,7543 is 19.
Lets's calculate GCF of 1672,7543
| 19 | 1672, 7543 |
| 88, 397 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 1672,7543 By Matching Biggest Common Factor Method
Now, list down the factors of 1672
:1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672
Now, list down the factors of 7543
:1,19,397,7543
Greatest Common Factor
We found the factors 1672,7543 . The biggest common factor number is the GCF number.
So the greatest common factor 1672,7543 is 19.
Lets's calculate LCM of 314,8964
| 2 | 314, 8964 |
| 157, 4482 |
∴ So the LCM of the given numbers is 2 x 157 x 4482 = 1407348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1407348
Therefore, the GCF of Fractions 1672/314,7543/8964 is 19/1407348
Least Common Multiple of 314,8964 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 314,8964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,8964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,8964) x common factors =2 x 1 = 2
LCM(314,8964) = ( 314 × 8964 ) / 2
LCM(314,8964) = 2814696 / 2
LCM(314,8964) = 1407348
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FAQs on GCF of Fractions of 1672/314, 7543/8964
1. What is the HCF of 1672,7543?
The HCF of 1672,7543 is 19
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 1672/314, 7543/8964?
Answer: GCF of Numerators as per given numbers 1672/314, 7543/8964 is
GCF of Numerators i.e. for 1672,7543 is 19
LCM of denominators i.e. for 314,8964 is 1407348.
Thus, GCF of Fractions is 19/1407348.Finally, GCF of Fractions for 1672/314, 7543/8964 is 19/1407348.