How to Find GCF of 90/123, 510/210, 757/457?

GCF of 90/123, 510/210, 757/457

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 90/123, 510/210, 757/457 i.e 1/3934770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/123, 510/210, 757/457.

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 90/123,510/210,757/457?

Given fractions are 90/123,510/210,757/457

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 90/123,510/210,757/457, numerators are 90,510,757

Denominators are 123,210,457

The GCF of 90,510,757 is 1 .

LCM of 123,210,457 is 3934770.

The greatest common factor of 90/123,510/210,757/457 = [GCF of 90,510,757]/[LCM of 123,210,457]= 1/3934770

Therefore, the GCF of 90/123,510/210,757/457 is 1/3934770.

Greatest Common Factor of 90,510,757

To find the highest common factor of 90,510,757, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The factors of 757 are 1, 757

The HCF of 90,510,757 is 1.

Lets's calculate GCF of 90,510,757

Greatest Common Factor (GCF) of 90,510,757 By Common Division

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

Greatest Common Factor of 90,510,757 By Matching Biggest Common Factor Method

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 510

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Now, list down the factors of 757

1,757

Greatest Common Factor

We found the factors 90,510,757 . The biggest common factor number is the GCF number.
So the greatest common factor 90,510,757 is 1.

Lets's calculate LCM of 123,210,457

Lowest Common Multiple of 123,210,457 using Common Division

3	123, 210, 457
	41, 70, 457

∴ So the LCM of the given numbers is 3 x 41 x 70 x 457 = 3934770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3934770

Therefore, the GCF of Fractions 90/123,510/210,757/457 is 1/3934770

Least Common Multiple of 123,210,457 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 123,210,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,210,457) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(123,210,457) x common factors =1 x 3 = 3

LCM(123,210,457) = ( 123 × 210 × 457 ) / 3

LCM(123,210,457) = 11804310 / 3

LCM(123,210,457) = 3934770

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FAQs on GCF of Fractions of 90/123, 510/210, 757/457

1. What is the HCF of 90,510,757?

The HCF of 90,510,757 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 90/123, 510/210, 757/457?

Answer: GCF of Numerators as per given numbers 90/123, 510/210, 757/457 is

GCF of Numerators i.e. for 90,510,757 is 1

LCM of denominators i.e. for 123,210,457 is 3934770.

Thus, GCF of Fractions is 1/3934770.Finally, GCF of Fractions for 90/123, 510/210, 757/457 is 1/3934770.