GCF of 1374/968, 6917/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1374/968, 6917/284 i.e 1/68728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1374/968, 6917/284.
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 1374/968,6917/284?
Given fractions are 1374/968,6917/284
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 1374/968,6917/284, numerators are 1374,6917
Denominators are 968,284
The GCF of 1374,6917 is 1 .
LCM of 968,284 is 68728.
The greatest common factor of 1374/968,6917/284 = [GCF of 1374,6917]/[LCM of 968,284]= 1/68728
Therefore, the GCF of 1374/968,6917/284 is 1/68728.
To find the highest common factor of 1374,6917, we have to find the factors of both numbers and list the highest common factor.
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374
The factors of 6917 are 1, 6917
The HCF of 1374,6917 is 1.
Lets's calculate GCF of 1374,6917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1374,6917 By Matching Biggest Common Factor Method
Now, list down the factors of 1374
:1,2,3,6,229,458,687,1374
Now, list down the factors of 6917
:1,6917
Greatest Common Factor
We found the factors 1374,6917 . The biggest common factor number is the GCF number.
So the greatest common factor 1374,6917 is 1.
Lets's calculate LCM of 968,284
| 2 | 968, 284 |
| 2 | 484, 142 |
| 242, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 71 = 68728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68728
Therefore, the GCF of Fractions 1374/968,6917/284 is 1/68728
Least Common Multiple of 968,284 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 968,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,284) x common factors =4 x 1 = 4
LCM(968,284) = ( 968 × 284 ) / 4
LCM(968,284) = 274912 / 4
LCM(968,284) = 68728
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FAQs on GCF of Fractions of 1374/968, 6917/284
1. What is the HCF of 1374,6917?
The HCF of 1374,6917 is 1
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 1374/968, 6917/284?
Answer: GCF of Numerators as per given numbers 1374/968, 6917/284 is
GCF of Numerators i.e. for 1374,6917 is 1
LCM of denominators i.e. for 968,284 is 68728.
Thus, GCF of Fractions is 1/68728.Finally, GCF of Fractions for 1374/968, 6917/284 is 1/68728.