How to Find GCF of 34/475, 90/964, 762/257?

GCF of 34/475, 90/964, 762/257

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 34/475, 90/964, 762/257 i.e 2/117680300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/475, 90/964, 762/257.

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 34/475,90/964,762/257?

Given fractions are 34/475,90/964,762/257

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 34/475,90/964,762/257, numerators are 34,90,762

Denominators are 475,964,257

The GCF of 34,90,762 is 2 .

LCM of 475,964,257 is 117680300.

The greatest common factor of 34/475,90/964,762/257 = [GCF of 34,90,762]/[LCM of 475,964,257]= 2/117680300

Therefore, the GCF of 34/475,90/964,762/257 is 2/117680300.

Greatest Common Factor of 34,90,762

To find the highest common factor of 34,90,762, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

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

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

The HCF of 34,90,762 is 2.

Lets's calculate GCF of 34,90,762

Greatest Common Factor (GCF) of 34,90,762 By Common Division

2	34, 90, 762
	17, 45, 381

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 34,90,762 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

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 762

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

Greatest Common Factor

We found the factors 34,90,762 . The biggest common factor number is the GCF number.
So the greatest common factor 34,90,762 is 2.

Lets's calculate LCM of 475,964,257

Lowest Common Multiple of 475,964,257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117680300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117680300

Therefore, the GCF of Fractions 34/475,90/964,762/257 is 2/117680300

Least Common Multiple of 475,964,257 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 475,964,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,964,257) = 1

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

GCF(475,964,257) x common factors =1 x 1 = 1

LCM(475,964,257) = ( 475 × 964 × 257 ) / 1

LCM(475,964,257) = 117680300 / 1

LCM(475,964,257) = 117680300

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FAQs on GCF of Fractions of 34/475, 90/964, 762/257

1. What is the HCF of 34,90,762?

The HCF of 34,90,762 is 2

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 34/475, 90/964, 762/257?

Answer: GCF of Numerators as per given numbers 34/475, 90/964, 762/257 is

GCF of Numerators i.e. for 34,90,762 is 2

LCM of denominators i.e. for 475,964,257 is 117680300.

Thus, GCF of Fractions is 2/117680300.Finally, GCF of Fractions for 34/475, 90/964, 762/257 is 2/117680300.