How to Find GCF of 8345/997, 3503/6969?

GCF of 8345/997, 3503/6969

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 8345/997, 3503/6969 i.e 1/6948093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8345/997, 3503/6969.

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 8345/997,3503/6969?

Given fractions are 8345/997,3503/6969

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 8345/997,3503/6969, numerators are 8345,3503

Denominators are 997,6969

The GCF of 8345,3503 is 1 .

LCM of 997,6969 is 6948093.

The greatest common factor of 8345/997,3503/6969 = [GCF of 8345,3503]/[LCM of 997,6969]= 1/6948093

Therefore, the GCF of 8345/997,3503/6969 is 1/6948093.

Greatest Common Factor of 8345,3503

To find the highest common factor of 8345,3503, we have to find the factors of both numbers and list the highest common factor.

The factors of 8345 are 1, 5, 1669, 8345

The factors of 3503 are 1, 31, 113, 3503

The HCF of 8345,3503 is 1.

Lets's calculate GCF of 8345,3503

Greatest Common Factor (GCF) of 8345,3503 By Common Division

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

Greatest Common Factor of 8345,3503 By Matching Biggest Common Factor Method

Now, list down the factors of 8345

1,5,1669,8345

Now, list down the factors of 3503

1,31,113,3503

Greatest Common Factor

We found the factors 8345,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 8345,3503 is 1.

Lets's calculate LCM of 997,6969

Lowest Common Multiple of 997,6969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6948093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6948093

Therefore, the GCF of Fractions 8345/997,3503/6969 is 1/6948093

Least Common Multiple of 997,6969 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 997,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,6969) = 1

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

GCF(997,6969) x common factors =1 x 1 = 1

LCM(997,6969) = ( 997 × 6969 ) / 1

LCM(997,6969) = 6948093 / 1

LCM(997,6969) = 6948093

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FAQs on GCF of Fractions of 8345/997, 3503/6969

1. What is the HCF of 8345,3503?

The HCF of 8345,3503 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 8345/997, 3503/6969?

Answer: GCF of Numerators as per given numbers 8345/997, 3503/6969 is

GCF of Numerators i.e. for 8345,3503 is 1

LCM of denominators i.e. for 997,6969 is 6948093.

Thus, GCF of Fractions is 1/6948093.Finally, GCF of Fractions for 8345/997, 3503/6969 is 1/6948093.