GCF of 3479/137, 4557/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3479/137, 4557/547 i.e 49/74939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3479/137, 4557/547.
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 3479/137,4557/547?
Given fractions are 3479/137,4557/547
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 3479/137,4557/547, numerators are 3479,4557
Denominators are 137,547
The GCF of 3479,4557 is 49 .
LCM of 137,547 is 74939.
The greatest common factor of 3479/137,4557/547 = [GCF of 3479,4557]/[LCM of 137,547]= 49/74939
Therefore, the GCF of 3479/137,4557/547 is 49/74939.
To find the highest common factor of 3479,4557, 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 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The HCF of 3479,4557 is 49.
Lets's calculate GCF of 3479,4557
| 7 | 3479, 4557 |
| 7 | 497, 651 |
| 71, 93 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 3479,4557 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 4557
:1,3,7,21,31,49,93,147,217,651,1519,4557
Greatest Common Factor
We found the factors 3479,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,4557 is 49.
Lets's calculate LCM of 137,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 74939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/74939
Therefore, the GCF of Fractions 3479/137,4557/547 is 49/74939
Least Common Multiple of 137,547 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 137,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,547) x common factors =1 x 1 = 1
LCM(137,547) = ( 137 × 547 ) / 1
LCM(137,547) = 74939 / 1
LCM(137,547) = 74939
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FAQs on GCF of Fractions of 3479/137, 4557/547
1. What is the HCF of 3479,4557?
The HCF of 3479,4557 is 49
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 3479/137, 4557/547?
Answer: GCF of Numerators as per given numbers 3479/137, 4557/547 is
GCF of Numerators i.e. for 3479,4557 is 49
LCM of denominators i.e. for 137,547 is 74939.
Thus, GCF of Fractions is 49/74939.Finally, GCF of Fractions for 3479/137, 4557/547 is 49/74939.