How to Find GCF of 6058/661, 7038/7798?

GCF of 6058/661, 7038/7798

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6058/661, 7038/7798 i.e 2/5154478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6058/661, 7038/7798.

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 6058/661,7038/7798?

Given fractions are 6058/661,7038/7798

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 6058/661,7038/7798, numerators are 6058,7038

Denominators are 661,7798

The GCF of 6058,7038 is 2 .

LCM of 661,7798 is 5154478.

The greatest common factor of 6058/661,7038/7798 = [GCF of 6058,7038]/[LCM of 661,7798]= 2/5154478

Therefore, the GCF of 6058/661,7038/7798 is 2/5154478.

Greatest Common Factor of 6058,7038

To find the highest common factor of 6058,7038, we have to find the factors of both numbers and list the highest common factor.

The factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058

The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038

The HCF of 6058,7038 is 2.

Lets's calculate GCF of 6058,7038

Greatest Common Factor (GCF) of 6058,7038 By Common Division

2	6058, 7038
	3029, 3519

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6058,7038 By Matching Biggest Common Factor Method

Now, list down the factors of 6058

1,2,13,26,233,466,3029,6058

Now, list down the factors of 7038

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Greatest Common Factor

We found the factors 6058,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 6058,7038 is 2.

Lets's calculate LCM of 661,7798

Lowest Common Multiple of 661,7798 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5154478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5154478

Therefore, the GCF of Fractions 6058/661,7038/7798 is 2/5154478

Least Common Multiple of 661,7798 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 661,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,7798) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(661,7798) x common factors =1 x 1 = 1

LCM(661,7798) = ( 661 × 7798 ) / 1

LCM(661,7798) = 5154478 / 1

LCM(661,7798) = 5154478

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6058/661, 7038/7798

1. What is the HCF of 6058,7038?

The HCF of 6058,7038 is 2

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 6058/661, 7038/7798?

Answer: GCF of Numerators as per given numbers 6058/661, 7038/7798 is

GCF of Numerators i.e. for 6058,7038 is 2

LCM of denominators i.e. for 661,7798 is 5154478.

Thus, GCF of Fractions is 2/5154478.Finally, GCF of Fractions for 6058/661, 7038/7798 is 2/5154478.