GCF of 6983/334, 4331/7004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6983/334, 4331/7004 i.e 1/1169668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6983/334, 4331/7004.
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 6983/334,4331/7004?
Given fractions are 6983/334,4331/7004
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 6983/334,4331/7004, numerators are 6983,4331
Denominators are 334,7004
The GCF of 6983,4331 is 1 .
LCM of 334,7004 is 1169668.
The greatest common factor of 6983/334,4331/7004 = [GCF of 6983,4331]/[LCM of 334,7004]= 1/1169668
Therefore, the GCF of 6983/334,4331/7004 is 1/1169668.
To find the highest common factor of 6983,4331, we have to find the factors of both numbers and list the highest common factor.
The factors of 6983 are 1, 6983
The factors of 4331 are 1, 61, 71, 4331
The HCF of 6983,4331 is 1.
Lets's calculate GCF of 6983,4331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6983,4331 By Matching Biggest Common Factor Method
Now, list down the factors of 6983
:1,6983
Now, list down the factors of 4331
:1,61,71,4331
Greatest Common Factor
We found the factors 6983,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 6983,4331 is 1.
Lets's calculate LCM of 334,7004
| 2 | 334, 7004 |
| 167, 3502 |
∴ So the LCM of the given numbers is 2 x 167 x 3502 = 1169668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1169668
Therefore, the GCF of Fractions 6983/334,4331/7004 is 1/1169668
Least Common Multiple of 334,7004 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 334,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,7004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,7004) x common factors =2 x 1 = 2
LCM(334,7004) = ( 334 × 7004 ) / 2
LCM(334,7004) = 2339336 / 2
LCM(334,7004) = 1169668
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FAQs on GCF of Fractions of 6983/334, 4331/7004
1. What is the HCF of 6983,4331?
The HCF of 6983,4331 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 6983/334, 4331/7004?
Answer: GCF of Numerators as per given numbers 6983/334, 4331/7004 is
GCF of Numerators i.e. for 6983,4331 is 1
LCM of denominators i.e. for 334,7004 is 1169668.
Thus, GCF of Fractions is 1/1169668.Finally, GCF of Fractions for 6983/334, 4331/7004 is 1/1169668.