How to Find GCF of 762/87, 143/95, 503/56?

GCF of 762/87, 143/95, 503/56

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 762/87, 143/95, 503/56 i.e 1/462840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/87, 143/95, 503/56.

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 762/87,143/95,503/56?

Given fractions are 762/87,143/95,503/56

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 762/87,143/95,503/56, numerators are 762,143,503

Denominators are 87,95,56

The GCF of 762,143,503 is 1 .

LCM of 87,95,56 is 462840.

The greatest common factor of 762/87,143/95,503/56 = [GCF of 762,143,503]/[LCM of 87,95,56]= 1/462840

Therefore, the GCF of 762/87,143/95,503/56 is 1/462840.

Greatest Common Factor of 762,143,503

To find the highest common factor of 762,143,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The factors of 143 are 1, 11, 13, 143

The factors of 503 are 1, 503

The HCF of 762,143,503 is 1.

Lets's calculate GCF of 762,143,503

Greatest Common Factor (GCF) of 762,143,503 By Common Division

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

Greatest Common Factor of 762,143,503 By Matching Biggest Common Factor Method

Now, list down the factors of 762

1,2,3,6,127,254,381,762

Now, list down the factors of 143

1,11,13,143

Now, list down the factors of 503

1,503

Greatest Common Factor

We found the factors 762,143,503 . The biggest common factor number is the GCF number.
So the greatest common factor 762,143,503 is 1.

Lets's calculate LCM of 87,95,56

Lowest Common Multiple of 87,95,56 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 462840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462840

Therefore, the GCF of Fractions 762/87,143/95,503/56 is 1/462840

Least Common Multiple of 87,95,56 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 87,95,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,95,56) = 1

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

GCF(87,95,56) x common factors =1 x 1 = 1

LCM(87,95,56) = ( 87 × 95 × 56 ) / 1

LCM(87,95,56) = 462840 / 1

LCM(87,95,56) = 462840

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 762/87, 143/95, 503/56

1. What is the HCF of 762,143,503?

The HCF of 762,143,503 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 762/87, 143/95, 503/56?

Answer: GCF of Numerators as per given numbers 762/87, 143/95, 503/56 is

GCF of Numerators i.e. for 762,143,503 is 1

LCM of denominators i.e. for 87,95,56 is 462840.

Thus, GCF of Fractions is 1/462840.Finally, GCF of Fractions for 762/87, 143/95, 503/56 is 1/462840.