GCF of 3465/376, 2984/6534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3465/376, 2984/6534 i.e 1/1228392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3465/376, 2984/6534.
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 3465/376,2984/6534?
Given fractions are 3465/376,2984/6534
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 3465/376,2984/6534, numerators are 3465,2984
Denominators are 376,6534
The GCF of 3465,2984 is 1 .
LCM of 376,6534 is 1228392.
The greatest common factor of 3465/376,2984/6534 = [GCF of 3465,2984]/[LCM of 376,6534]= 1/1228392
Therefore, the GCF of 3465/376,2984/6534 is 1/1228392.
To find the highest common factor of 3465,2984, we have to find the factors of both numbers and list the highest common factor.
The factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465
The factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984
The HCF of 3465,2984 is 1.
Lets's calculate GCF of 3465,2984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3465,2984 By Matching Biggest Common Factor Method
Now, list down the factors of 3465
:1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465
Now, list down the factors of 2984
:1,2,4,8,373,746,1492,2984
Greatest Common Factor
We found the factors 3465,2984 . The biggest common factor number is the GCF number.
So the greatest common factor 3465,2984 is 1.
Lets's calculate LCM of 376,6534
| 2 | 376, 6534 |
| 188, 3267 |
∴ So the LCM of the given numbers is 2 x 188 x 3267 = 1228392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1228392
Therefore, the GCF of Fractions 3465/376,2984/6534 is 1/1228392
Least Common Multiple of 376,6534 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 376,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,6534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,6534) x common factors =2 x 1 = 2
LCM(376,6534) = ( 376 × 6534 ) / 2
LCM(376,6534) = 2456784 / 2
LCM(376,6534) = 1228392
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FAQs on GCF of Fractions of 3465/376, 2984/6534
1. What is the HCF of 3465,2984?
The HCF of 3465,2984 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 3465/376, 2984/6534?
Answer: GCF of Numerators as per given numbers 3465/376, 2984/6534 is
GCF of Numerators i.e. for 3465,2984 is 1
LCM of denominators i.e. for 376,6534 is 1228392.
Thus, GCF of Fractions is 1/1228392.Finally, GCF of Fractions for 3465/376, 2984/6534 is 1/1228392.