How to Find GCF of 58/48, 90/92, 659/460?

GCF of 58/48, 90/92, 659/460

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 58/48, 90/92, 659/460 i.e 1/5520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/48, 90/92, 659/460.

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 58/48,90/92,659/460?

Given fractions are 58/48,90/92,659/460

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 58/48,90/92,659/460, numerators are 58,90,659

Denominators are 48,92,460

The GCF of 58,90,659 is 1 .

LCM of 48,92,460 is 5520.

The greatest common factor of 58/48,90/92,659/460 = [GCF of 58,90,659]/[LCM of 48,92,460]= 1/5520

Therefore, the GCF of 58/48,90/92,659/460 is 1/5520.

Greatest Common Factor of 58,90,659

To find the highest common factor of 58,90,659, we have to find the factors of both numbers and list the highest common factor.

The factors of 58 are 1, 2, 29, 58

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 659 are 1, 659

The HCF of 58,90,659 is 1.

Lets's calculate GCF of 58,90,659

Greatest Common Factor (GCF) of 58,90,659 By Common Division

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

Greatest Common Factor of 58,90,659 By Matching Biggest Common Factor Method

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 659

1,659

Greatest Common Factor

We found the factors 58,90,659 . The biggest common factor number is the GCF number.
So the greatest common factor 58,90,659 is 1.

Lets's calculate LCM of 48,92,460

Lowest Common Multiple of 48,92,460 using Common Division

2	48, 92, 460
2	24, 46, 230
23	12, 23, 115
	12, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 23 x 12 x 1 x 5 = 5520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5520

Therefore, the GCF of Fractions 58/48,90/92,659/460 is 1/5520

Least Common Multiple of 48,92,460 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 48,92,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,92,460) = 4

common factors(in case of two or more numbers have common factors) = 92

GCF(48,92,460) x common factors =4 x 92 = 368

LCM(48,92,460) = ( 48 × 92 × 460 ) / 368

LCM(48,92,460) = 2031360 / 368

LCM(48,92,460) = 5520

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FAQs on GCF of Fractions of 58/48, 90/92, 659/460

1. What is the HCF of 58,90,659?

The HCF of 58,90,659 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 58/48, 90/92, 659/460?

Answer: GCF of Numerators as per given numbers 58/48, 90/92, 659/460 is

GCF of Numerators i.e. for 58,90,659 is 1

LCM of denominators i.e. for 48,92,460 is 5520.

Thus, GCF of Fractions is 1/5520.Finally, GCF of Fractions for 58/48, 90/92, 659/460 is 1/5520.