How to Find GCF of 701/547, 582/748, 293/300?

GCF of 701/547, 582/748, 293/300

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 701/547, 582/748, 293/300 i.e 1/30686700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 701/547, 582/748, 293/300.

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 701/547,582/748,293/300?

Given fractions are 701/547,582/748,293/300

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 701/547,582/748,293/300, numerators are 701,582,293

Denominators are 547,748,300

The GCF of 701,582,293 is 1 .

LCM of 547,748,300 is 30686700.

The greatest common factor of 701/547,582/748,293/300 = [GCF of 701,582,293]/[LCM of 547,748,300]= 1/30686700

Therefore, the GCF of 701/547,582/748,293/300 is 1/30686700.

Greatest Common Factor of 701,582,293

To find the highest common factor of 701,582,293, we have to find the factors of both numbers and list the highest common factor.

The factors of 701 are 1, 701

The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582

The factors of 293 are 1, 293

The HCF of 701,582,293 is 1.

Lets's calculate GCF of 701,582,293

Greatest Common Factor (GCF) of 701,582,293 By Common Division

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

Greatest Common Factor of 701,582,293 By Matching Biggest Common Factor Method

Now, list down the factors of 701

1,701

Now, list down the factors of 582

1,2,3,6,97,194,291,582

Now, list down the factors of 293

1,293

Greatest Common Factor

We found the factors 701,582,293 . The biggest common factor number is the GCF number.
So the greatest common factor 701,582,293 is 1.

Lets's calculate LCM of 547,748,300

Lowest Common Multiple of 547,748,300 using Common Division

2	547, 748, 300
2	547, 374, 150
	547, 187, 75

∴ So the LCM of the given numbers is 2 x 2 x 547 x 187 x 75 = 30686700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30686700

Therefore, the GCF of Fractions 701/547,582/748,293/300 is 1/30686700

Least Common Multiple of 547,748,300 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 547,748,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,748,300) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(547,748,300) x common factors =1 x 4 = 4

LCM(547,748,300) = ( 547 × 748 × 300 ) / 4

LCM(547,748,300) = 122746800 / 4

LCM(547,748,300) = 30686700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 701/547, 582/748, 293/300

1. What is the HCF of 701,582,293?

The HCF of 701,582,293 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 701/547, 582/748, 293/300?

Answer: GCF of Numerators as per given numbers 701/547, 582/748, 293/300 is

GCF of Numerators i.e. for 701,582,293 is 1

LCM of denominators i.e. for 547,748,300 is 30686700.

Thus, GCF of Fractions is 1/30686700.Finally, GCF of Fractions for 701/547, 582/748, 293/300 is 1/30686700.