How to Find GCF of 2046/947, 6042/715?

GCF of 2046/947, 6042/715

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 2046/947, 6042/715 i.e 6/677105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2046/947, 6042/715.

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 2046/947,6042/715?

Given fractions are 2046/947,6042/715

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 2046/947,6042/715, numerators are 2046,6042

Denominators are 947,715

The GCF of 2046,6042 is 6 .

LCM of 947,715 is 677105.

The greatest common factor of 2046/947,6042/715 = [GCF of 2046,6042]/[LCM of 947,715]= 6/677105

Therefore, the GCF of 2046/947,6042/715 is 6/677105.

Greatest Common Factor of 2046,6042

To find the highest common factor of 2046,6042, we have to find the factors of both numbers and list the highest common factor.

The factors of 2046 are 1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046

The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

The HCF of 2046,6042 is 6.

Lets's calculate GCF of 2046,6042

Greatest Common Factor (GCF) of 2046,6042 By Common Division

2	2046, 6042
3	1023, 3021
	341, 1007

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2046,6042 By Matching Biggest Common Factor Method

Now, list down the factors of 2046

1,2,3,6,11,22,31,33,62,66,93,186,341,682,1023,2046

Now, list down the factors of 6042

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors 2046,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 2046,6042 is 6.

Lets's calculate LCM of 947,715

Lowest Common Multiple of 947,715 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 677105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/677105

Therefore, the GCF of Fractions 2046/947,6042/715 is 6/677105

Least Common Multiple of 947,715 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 947,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,715) = 1

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

GCF(947,715) x common factors =1 x 1 = 1

LCM(947,715) = ( 947 × 715 ) / 1

LCM(947,715) = 677105 / 1

LCM(947,715) = 677105

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2046/947, 6042/715

1. What is the HCF of 2046,6042?

The HCF of 2046,6042 is 6

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 2046/947, 6042/715?

Answer: GCF of Numerators as per given numbers 2046/947, 6042/715 is

GCF of Numerators i.e. for 2046,6042 is 6

LCM of denominators i.e. for 947,715 is 677105.

Thus, GCF of Fractions is 6/677105.Finally, GCF of Fractions for 2046/947, 6042/715 is 6/677105.