How to Find GCF of 1369/899, 8435/8125?

GCF of 1369/899, 8435/8125

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 1369/899, 8435/8125 i.e 1/7304375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1369/899, 8435/8125.

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 1369/899,8435/8125?

Given fractions are 1369/899,8435/8125

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 1369/899,8435/8125, numerators are 1369,8435

Denominators are 899,8125

The GCF of 1369,8435 is 1 .

LCM of 899,8125 is 7304375.

The greatest common factor of 1369/899,8435/8125 = [GCF of 1369,8435]/[LCM of 899,8125]= 1/7304375

Therefore, the GCF of 1369/899,8435/8125 is 1/7304375.

Greatest Common Factor of 1369,8435

To find the highest common factor of 1369,8435, we have to find the factors of both numbers and list the highest common factor.

The factors of 1369 are 1, 37, 1369

The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435

The HCF of 1369,8435 is 1.

Lets's calculate GCF of 1369,8435

Greatest Common Factor (GCF) of 1369,8435 By Common Division

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

Greatest Common Factor of 1369,8435 By Matching Biggest Common Factor Method

Now, list down the factors of 1369

1,37,1369

Now, list down the factors of 8435

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 1369,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,8435 is 1.

Lets's calculate LCM of 899,8125

Lowest Common Multiple of 899,8125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7304375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7304375

Therefore, the GCF of Fractions 1369/899,8435/8125 is 1/7304375

Least Common Multiple of 899,8125 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 899,8125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,8125) = 1

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

GCF(899,8125) x common factors =1 x 1 = 1

LCM(899,8125) = ( 899 × 8125 ) / 1

LCM(899,8125) = 7304375 / 1

LCM(899,8125) = 7304375

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FAQs on GCF of Fractions of 1369/899, 8435/8125

1. What is the HCF of 1369,8435?

The HCF of 1369,8435 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 1369/899, 8435/8125?

Answer: GCF of Numerators as per given numbers 1369/899, 8435/8125 is

GCF of Numerators i.e. for 1369,8435 is 1

LCM of denominators i.e. for 899,8125 is 7304375.

Thus, GCF of Fractions is 1/7304375.Finally, GCF of Fractions for 1369/899, 8435/8125 is 1/7304375.