GCF of 3479/828, 7030/3087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3479/828, 7030/3087 i.e 1/284004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3479/828, 7030/3087.
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 3479/828,7030/3087?
Given fractions are 3479/828,7030/3087
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 3479/828,7030/3087, numerators are 3479,7030
Denominators are 828,3087
The GCF of 3479,7030 is 1 .
LCM of 828,3087 is 284004.
The greatest common factor of 3479/828,7030/3087 = [GCF of 3479,7030]/[LCM of 828,3087]= 1/284004
Therefore, the GCF of 3479/828,7030/3087 is 1/284004.
To find the highest common factor of 3479,7030, we have to find the factors of both numbers and list the highest common factor.
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The HCF of 3479,7030 is 1.
Lets's calculate GCF of 3479,7030
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3479,7030 By Matching Biggest Common Factor Method
Now, list down the factors of 3479
:1,7,49,71,497,3479
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Greatest Common Factor
We found the factors 3479,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,7030 is 1.
Lets's calculate LCM of 828,3087
| 3 | 828, 3087 |
| 3 | 276, 1029 |
| 92, 343 |
∴ So the LCM of the given numbers is 3 x 3 x 92 x 343 = 284004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284004
Therefore, the GCF of Fractions 3479/828,7030/3087 is 1/284004
Least Common Multiple of 828,3087 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 828,3087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,3087) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(828,3087) x common factors =9 x 1 = 9
LCM(828,3087) = ( 828 × 3087 ) / 9
LCM(828,3087) = 2556036 / 9
LCM(828,3087) = 284004
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FAQs on GCF of Fractions of 3479/828, 7030/3087
1. What is the HCF of 3479,7030?
The HCF of 3479,7030 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 3479/828, 7030/3087?
Answer: GCF of Numerators as per given numbers 3479/828, 7030/3087 is
GCF of Numerators i.e. for 3479,7030 is 1
LCM of denominators i.e. for 828,3087 is 284004.
Thus, GCF of Fractions is 1/284004.Finally, GCF of Fractions for 3479/828, 7030/3087 is 1/284004.