How to Find GCF of 2669/977, 2320/1333?

GCF of 2669/977, 2320/1333

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 2669/977, 2320/1333 i.e 1/1302341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2669/977, 2320/1333.

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 2669/977,2320/1333?

Given fractions are 2669/977,2320/1333

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 2669/977,2320/1333, numerators are 2669,2320

Denominators are 977,1333

The GCF of 2669,2320 is 1 .

LCM of 977,1333 is 1302341.

The greatest common factor of 2669/977,2320/1333 = [GCF of 2669,2320]/[LCM of 977,1333]= 1/1302341

Therefore, the GCF of 2669/977,2320/1333 is 1/1302341.

Greatest Common Factor of 2669,2320

To find the highest common factor of 2669,2320, we have to find the factors of both numbers and list the highest common factor.

The factors of 2669 are 1, 17, 157, 2669

The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

The HCF of 2669,2320 is 1.

Lets's calculate GCF of 2669,2320

Greatest Common Factor (GCF) of 2669,2320 By Common Division

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

Greatest Common Factor of 2669,2320 By Matching Biggest Common Factor Method

Now, list down the factors of 2669

1,17,157,2669

Now, list down the factors of 2320

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors 2669,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 2669,2320 is 1.

Lets's calculate LCM of 977,1333

Lowest Common Multiple of 977,1333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1302341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1302341

Therefore, the GCF of Fractions 2669/977,2320/1333 is 1/1302341

Least Common Multiple of 977,1333 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 977,1333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,1333) = 1

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

GCF(977,1333) x common factors =1 x 1 = 1

LCM(977,1333) = ( 977 × 1333 ) / 1

LCM(977,1333) = 1302341 / 1

LCM(977,1333) = 1302341

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2669/977, 2320/1333

1. What is the HCF of 2669,2320?

The HCF of 2669,2320 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 2669/977, 2320/1333?

Answer: GCF of Numerators as per given numbers 2669/977, 2320/1333 is

GCF of Numerators i.e. for 2669,2320 is 1

LCM of denominators i.e. for 977,1333 is 1302341.

Thus, GCF of Fractions is 1/1302341.Finally, GCF of Fractions for 2669/977, 2320/1333 is 1/1302341.