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GCF of 1866/859, 7429/707

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 1866/859, 7429/707 i.e 1/607313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1866/859, 7429/707.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1866/859,7429/707?

Given fractions are 1866/859,7429/707

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 1866/859,7429/707, numerators are 1866,7429

Denominators are 859,707

The GCF of 1866,7429 is 1 .

LCM of 859,707 is 607313.

The greatest common factor of 1866/859,7429/707 = [GCF of 1866,7429]/[LCM of 859,707]= 1/607313

Therefore, the GCF of 1866/859,7429/707 is 1/607313.

Greatest Common Factor of 1866,7429

To find the highest common factor of 1866,7429, we have to find the factors of both numbers and list the highest common factor.

The factors of 1866 are 1, 2, 3, 6, 311, 622, 933, 1866

The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429

The HCF of 1866,7429 is 1.

Lets's calculate GCF of 1866,7429

Greatest Common Factor (GCF) of 1866,7429 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1866,7429 By Matching Biggest Common Factor Method

Greatest Common Factor of 1866,7429 By Matching Biggest Common Factor Method

Now, list down the factors of 1866

:

1,2,3,6,311,622,933,1866

Now, list down the factors of 7429

:

1,17,19,23,323,391,437,7429

Greatest Common Factor

We found the factors 1866,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 1866,7429 is 1.


Lets's calculate LCM of 859,707

Lowest Common Multiple of 859,707 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 607313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607313

Therefore, the GCF of Fractions 1866/859,7429/707 is 1/607313

Least Common Multiple of 859,707 with GCF Formula

Least Common Multiple of 859,707 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 859,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,707) = 1

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

GCF(859,707) x common factors =1 x 1 = 1

LCM(859,707) = ( 859 × 707 ) / 1

LCM(859,707) = 607313 / 1

LCM(859,707) = 607313


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1866/859, 7429/707

1. What is the HCF of 1866,7429?

The HCF of 1866,7429 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 1866/859, 7429/707?

Answer: GCF of Numerators as per given numbers 1866/859, 7429/707 is

GCF of Numerators i.e. for 1866,7429 is 1

LCM of denominators i.e. for 859,707 is 607313.

Thus, GCF of Fractions is 1/607313.Finally, GCF of Fractions for 1866/859, 7429/707 is 1/607313.