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GCF of 353/740, 762/482

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 353/740, 762/482 i.e 1/178340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/740, 762/482.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 353/740,762/482?

Given fractions are 353/740,762/482

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 353/740,762/482, numerators are 353,762

Denominators are 740,482

The GCF of 353,762 is 1 .

LCM of 740,482 is 178340.

The greatest common factor of 353/740,762/482 = [GCF of 353,762]/[LCM of 740,482]= 1/178340

Therefore, the GCF of 353/740,762/482 is 1/178340.

Greatest Common Factor of 353,762

To find the highest common factor of 353,762, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

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

The HCF of 353,762 is 1.

Lets's calculate GCF of 353,762

Greatest Common Factor (GCF) of 353,762 By Common Division

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

Greatest Common Factor of 353,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,762 By Matching Biggest Common Factor Method

Now, list down the factors of 353

:

1,353

Now, list down the factors of 762

:

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

Greatest Common Factor

We found the factors 353,762 . The biggest common factor number is the GCF number.
So the greatest common factor 353,762 is 1.

Lets's calculate LCM of 740,482

Lowest Common Multiple of 740,482 using Common Division

2 740, 482
370, 241

∴ So the LCM of the given numbers is 2 x 370 x 241 = 178340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178340

Therefore, the GCF of Fractions 353/740,762/482 is 1/178340

Least Common Multiple of 740,482 with GCF Formula

Least Common Multiple of 740,482 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 740,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,482) = 2

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

GCF(740,482) x common factors =2 x 1 = 2

LCM(740,482) = ( 740 × 482 ) / 2

LCM(740,482) = 356680 / 2

LCM(740,482) = 178340


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FAQs on GCF of Fractions of 353/740, 762/482

1. What is the HCF of 353,762?

The HCF of 353,762 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 353/740, 762/482?

Answer: GCF of Numerators as per given numbers 353/740, 762/482 is

GCF of Numerators i.e. for 353,762 is 1

LCM of denominators i.e. for 740,482 is 178340.

Thus, GCF of Fractions is 1/178340.Finally, GCF of Fractions for 353/740, 762/482 is 1/178340.