How to Find GCF of 1699/760, 2992/1636?

GCF of 1699/760, 2992/1636

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 1699/760, 2992/1636 i.e 1/310840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1699/760, 2992/1636.

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 1699/760,2992/1636?

Given fractions are 1699/760,2992/1636

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 1699/760,2992/1636, numerators are 1699,2992

Denominators are 760,1636

The GCF of 1699,2992 is 1 .

LCM of 760,1636 is 310840.

The greatest common factor of 1699/760,2992/1636 = [GCF of 1699,2992]/[LCM of 760,1636]= 1/310840

Therefore, the GCF of 1699/760,2992/1636 is 1/310840.

Greatest Common Factor of 1699,2992

To find the highest common factor of 1699,2992, we have to find the factors of both numbers and list the highest common factor.

The factors of 1699 are 1, 1699

The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992

The HCF of 1699,2992 is 1.

Lets's calculate GCF of 1699,2992

Greatest Common Factor (GCF) of 1699,2992 By Common Division

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

Greatest Common Factor of 1699,2992 By Matching Biggest Common Factor Method

Now, list down the factors of 1699

1,1699

Now, list down the factors of 2992

1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992

Greatest Common Factor

We found the factors 1699,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 1699,2992 is 1.

Lets's calculate LCM of 760,1636

Lowest Common Multiple of 760,1636 using Common Division

2	760, 1636
2	380, 818
	190, 409

∴ So the LCM of the given numbers is 2 x 2 x 190 x 409 = 310840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310840

Therefore, the GCF of Fractions 1699/760,2992/1636 is 1/310840

Least Common Multiple of 760,1636 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 760,1636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,1636) = 4

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

GCF(760,1636) x common factors =4 x 1 = 4

LCM(760,1636) = ( 760 × 1636 ) / 4

LCM(760,1636) = 1243360 / 4

LCM(760,1636) = 310840

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1699/760, 2992/1636

1. What is the HCF of 1699,2992?

The HCF of 1699,2992 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 1699/760, 2992/1636?

Answer: GCF of Numerators as per given numbers 1699/760, 2992/1636 is

GCF of Numerators i.e. for 1699,2992 is 1

LCM of denominators i.e. for 760,1636 is 310840.

Thus, GCF of Fractions is 1/310840.Finally, GCF of Fractions for 1699/760, 2992/1636 is 1/310840.