GCF of 7354/838, 6534/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7354/838, 6534/673 i.e 2/563974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7354/838, 6534/673.
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 7354/838,6534/673?
Given fractions are 7354/838,6534/673
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 7354/838,6534/673, numerators are 7354,6534
Denominators are 838,673
The GCF of 7354,6534 is 2 .
LCM of 838,673 is 563974.
The greatest common factor of 7354/838,6534/673 = [GCF of 7354,6534]/[LCM of 838,673]= 2/563974
Therefore, the GCF of 7354/838,6534/673 is 2/563974.
To find the highest common factor of 7354,6534, we have to find the factors of both numbers and list the highest common factor.
The factors of 7354 are 1, 2, 3677, 7354
The factors of 6534 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534
The HCF of 7354,6534 is 2.
Lets's calculate GCF of 7354,6534
| 2 | 7354, 6534 |
| 3677, 3267 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7354,6534 By Matching Biggest Common Factor Method
Now, list down the factors of 7354
:1,2,3677,7354
Now, list down the factors of 6534
:1,2,3,6,9,11,18,22,27,33,54,66,99,121,198,242,297,363,594,726,1089,2178,3267,6534
Greatest Common Factor
We found the factors 7354,6534 . The biggest common factor number is the GCF number.
So the greatest common factor 7354,6534 is 2.
Lets's calculate LCM of 838,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 563974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/563974
Therefore, the GCF of Fractions 7354/838,6534/673 is 2/563974
Least Common Multiple of 838,673 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 838,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,673) x common factors =1 x 1 = 1
LCM(838,673) = ( 838 × 673 ) / 1
LCM(838,673) = 563974 / 1
LCM(838,673) = 563974
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FAQs on GCF of Fractions of 7354/838, 6534/673
1. What is the HCF of 7354,6534?
The HCF of 7354,6534 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 7354/838, 6534/673?
Answer: GCF of Numerators as per given numbers 7354/838, 6534/673 is
GCF of Numerators i.e. for 7354,6534 is 2
LCM of denominators i.e. for 838,673 is 563974.
Thus, GCF of Fractions is 2/563974.Finally, GCF of Fractions for 7354/838, 6534/673 is 2/563974.