How to Find GCF of 1127/923, 6505/461?

GCF of 1127/923, 6505/461

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 1127/923, 6505/461 i.e 1/425503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1127/923, 6505/461.

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 1127/923,6505/461?

Given fractions are 1127/923,6505/461

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 1127/923,6505/461, numerators are 1127,6505

Denominators are 923,461

The GCF of 1127,6505 is 1 .

LCM of 923,461 is 425503.

The greatest common factor of 1127/923,6505/461 = [GCF of 1127,6505]/[LCM of 923,461]= 1/425503

Therefore, the GCF of 1127/923,6505/461 is 1/425503.

Greatest Common Factor of 1127,6505

To find the highest common factor of 1127,6505, we have to find the factors of both numbers and list the highest common factor.

The factors of 1127 are 1, 7, 23, 49, 161, 1127

The factors of 6505 are 1, 5, 1301, 6505

The HCF of 1127,6505 is 1.

Lets's calculate GCF of 1127,6505

Greatest Common Factor (GCF) of 1127,6505 By Common Division

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

Greatest Common Factor of 1127,6505 By Matching Biggest Common Factor Method

Now, list down the factors of 1127

1,7,23,49,161,1127

Now, list down the factors of 6505

1,5,1301,6505

Greatest Common Factor

We found the factors 1127,6505 . The biggest common factor number is the GCF number.
So the greatest common factor 1127,6505 is 1.

Lets's calculate LCM of 923,461

Lowest Common Multiple of 923,461 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 425503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425503

Therefore, the GCF of Fractions 1127/923,6505/461 is 1/425503

Least Common Multiple of 923,461 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 923,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,461) = 1

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

GCF(923,461) x common factors =1 x 1 = 1

LCM(923,461) = ( 923 × 461 ) / 1

LCM(923,461) = 425503 / 1

LCM(923,461) = 425503

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FAQs on GCF of Fractions of 1127/923, 6505/461

1. What is the HCF of 1127,6505?

The HCF of 1127,6505 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 1127/923, 6505/461?

Answer: GCF of Numerators as per given numbers 1127/923, 6505/461 is

GCF of Numerators i.e. for 1127,6505 is 1

LCM of denominators i.e. for 923,461 is 425503.

Thus, GCF of Fractions is 1/425503.Finally, GCF of Fractions for 1127/923, 6505/461 is 1/425503.