How to Find GCF of 1869/401, 8294/8597?

GCF of 1869/401, 8294/8597

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 1869/401, 8294/8597 i.e 1/3447397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1869/401, 8294/8597.

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 1869/401,8294/8597?

Given fractions are 1869/401,8294/8597

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 1869/401,8294/8597, numerators are 1869,8294

Denominators are 401,8597

The GCF of 1869,8294 is 1 .

LCM of 401,8597 is 3447397.

The greatest common factor of 1869/401,8294/8597 = [GCF of 1869,8294]/[LCM of 401,8597]= 1/3447397

Therefore, the GCF of 1869/401,8294/8597 is 1/3447397.

Greatest Common Factor of 1869,8294

To find the highest common factor of 1869,8294, we have to find the factors of both numbers and list the highest common factor.

The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869

The factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294

The HCF of 1869,8294 is 1.

Lets's calculate GCF of 1869,8294

Greatest Common Factor (GCF) of 1869,8294 By Common Division

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

Greatest Common Factor of 1869,8294 By Matching Biggest Common Factor Method

Now, list down the factors of 1869

1,3,7,21,89,267,623,1869

Now, list down the factors of 8294

1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294

Greatest Common Factor

We found the factors 1869,8294 . The biggest common factor number is the GCF number.
So the greatest common factor 1869,8294 is 1.

Lets's calculate LCM of 401,8597

Lowest Common Multiple of 401,8597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3447397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3447397

Therefore, the GCF of Fractions 1869/401,8294/8597 is 1/3447397

Least Common Multiple of 401,8597 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 401,8597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,8597) = 1

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

GCF(401,8597) x common factors =1 x 1 = 1

LCM(401,8597) = ( 401 × 8597 ) / 1

LCM(401,8597) = 3447397 / 1

LCM(401,8597) = 3447397

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FAQs on GCF of Fractions of 1869/401, 8294/8597

1. What is the HCF of 1869,8294?

The HCF of 1869,8294 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 1869/401, 8294/8597?

Answer: GCF of Numerators as per given numbers 1869/401, 8294/8597 is

GCF of Numerators i.e. for 1869,8294 is 1

LCM of denominators i.e. for 401,8597 is 3447397.

Thus, GCF of Fractions is 1/3447397.Finally, GCF of Fractions for 1869/401, 8294/8597 is 1/3447397.