How to Find GCF of 448/67, 695/540?

GCF of 448/67, 695/540

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 448/67, 695/540 i.e 1/36180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/67, 695/540.

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 448/67,695/540?

Given fractions are 448/67,695/540

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 448/67,695/540, numerators are 448,695

Denominators are 67,540

The GCF of 448,695 is 1 .

LCM of 67,540 is 36180.

The greatest common factor of 448/67,695/540 = [GCF of 448,695]/[LCM of 67,540]= 1/36180

Therefore, the GCF of 448/67,695/540 is 1/36180.

Greatest Common Factor of 448,695

To find the highest common factor of 448,695, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 695 are 1, 5, 139, 695

The HCF of 448,695 is 1.

Lets's calculate GCF of 448,695

Greatest Common Factor (GCF) of 448,695 By Common Division

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

Greatest Common Factor of 448,695 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 695

1,5,139,695

Greatest Common Factor

We found the factors 448,695 . The biggest common factor number is the GCF number.
So the greatest common factor 448,695 is 1.

Lets's calculate LCM of 67,540

Lowest Common Multiple of 67,540 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36180

Therefore, the GCF of Fractions 448/67,695/540 is 1/36180

Least Common Multiple of 67,540 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 67,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,540) = 1

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

GCF(67,540) x common factors =1 x 1 = 1

LCM(67,540) = ( 67 × 540 ) / 1

LCM(67,540) = 36180 / 1

LCM(67,540) = 36180

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FAQs on GCF of Fractions of 448/67, 695/540

1. What is the HCF of 448,695?

The HCF of 448,695 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 448/67, 695/540?

Answer: GCF of Numerators as per given numbers 448/67, 695/540 is

GCF of Numerators i.e. for 448,695 is 1

LCM of denominators i.e. for 67,540 is 36180.

Thus, GCF of Fractions is 1/36180.Finally, GCF of Fractions for 448/67, 695/540 is 1/36180.