How to Find GCF of 1645/758, 2906/8263?

GCF of 1645/758, 2906/8263

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 1645/758, 2906/8263 i.e 1/6263354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1645/758, 2906/8263.

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 1645/758,2906/8263?

Given fractions are 1645/758,2906/8263

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 1645/758,2906/8263, numerators are 1645,2906

Denominators are 758,8263

The GCF of 1645,2906 is 1 .

LCM of 758,8263 is 6263354.

The greatest common factor of 1645/758,2906/8263 = [GCF of 1645,2906]/[LCM of 758,8263]= 1/6263354

Therefore, the GCF of 1645/758,2906/8263 is 1/6263354.

Greatest Common Factor of 1645,2906

To find the highest common factor of 1645,2906, we have to find the factors of both numbers and list the highest common factor.

The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645

The factors of 2906 are 1, 2, 1453, 2906

The HCF of 1645,2906 is 1.

Lets's calculate GCF of 1645,2906

Greatest Common Factor (GCF) of 1645,2906 By Common Division

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

Greatest Common Factor of 1645,2906 By Matching Biggest Common Factor Method

Now, list down the factors of 1645

1,5,7,35,47,235,329,1645

Now, list down the factors of 2906

1,2,1453,2906

Greatest Common Factor

We found the factors 1645,2906 . The biggest common factor number is the GCF number.
So the greatest common factor 1645,2906 is 1.

Lets's calculate LCM of 758,8263

Lowest Common Multiple of 758,8263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6263354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6263354

Therefore, the GCF of Fractions 1645/758,2906/8263 is 1/6263354

Least Common Multiple of 758,8263 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 758,8263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,8263) = 1

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

GCF(758,8263) x common factors =1 x 1 = 1

LCM(758,8263) = ( 758 × 8263 ) / 1

LCM(758,8263) = 6263354 / 1

LCM(758,8263) = 6263354

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1645/758, 2906/8263

1. What is the HCF of 1645,2906?

The HCF of 1645,2906 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 1645/758, 2906/8263?

Answer: GCF of Numerators as per given numbers 1645/758, 2906/8263 is

GCF of Numerators i.e. for 1645,2906 is 1

LCM of denominators i.e. for 758,8263 is 6263354.

Thus, GCF of Fractions is 1/6263354.Finally, GCF of Fractions for 1645/758, 2906/8263 is 1/6263354.