How to Find GCF of 1760/671, 8188/1445?

GCF of 1760/671, 8188/1445

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 1760/671, 8188/1445 i.e 4/969595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1760/671, 8188/1445.

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 1760/671,8188/1445?

Given fractions are 1760/671,8188/1445

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 1760/671,8188/1445, numerators are 1760,8188

Denominators are 671,1445

The GCF of 1760,8188 is 4 .

LCM of 671,1445 is 969595.

The greatest common factor of 1760/671,8188/1445 = [GCF of 1760,8188]/[LCM of 671,1445]= 4/969595

Therefore, the GCF of 1760/671,8188/1445 is 4/969595.

Greatest Common Factor of 1760,8188

To find the highest common factor of 1760,8188, we have to find the factors of both numbers and list the highest common factor.

The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760

The factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188

The HCF of 1760,8188 is 4.

Lets's calculate GCF of 1760,8188

Greatest Common Factor (GCF) of 1760,8188 By Common Division

2	1760, 8188
2	880, 4094
	440, 2047

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1760,8188 By Matching Biggest Common Factor Method

Now, list down the factors of 1760

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Now, list down the factors of 8188

1,2,4,23,46,89,92,178,356,2047,4094,8188

Greatest Common Factor

We found the factors 1760,8188 . The biggest common factor number is the GCF number.
So the greatest common factor 1760,8188 is 4.

Lets's calculate LCM of 671,1445

Lowest Common Multiple of 671,1445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 969595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/969595

Therefore, the GCF of Fractions 1760/671,8188/1445 is 4/969595

Least Common Multiple of 671,1445 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 671,1445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,1445) = 1

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

GCF(671,1445) x common factors =1 x 1 = 1

LCM(671,1445) = ( 671 × 1445 ) / 1

LCM(671,1445) = 969595 / 1

LCM(671,1445) = 969595

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1760/671, 8188/1445

1. What is the HCF of 1760,8188?

The HCF of 1760,8188 is 4

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 1760/671, 8188/1445?

Answer: GCF of Numerators as per given numbers 1760/671, 8188/1445 is

GCF of Numerators i.e. for 1760,8188 is 4

LCM of denominators i.e. for 671,1445 is 969595.

Thus, GCF of Fractions is 4/969595.Finally, GCF of Fractions for 1760/671, 8188/1445 is 4/969595.