How to Find GCF of 7390/912, 3667/5408?

GCF of 7390/912, 3667/5408

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 7390/912, 3667/5408 i.e 1/308256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7390/912, 3667/5408.

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 7390/912,3667/5408?

Given fractions are 7390/912,3667/5408

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 7390/912,3667/5408, numerators are 7390,3667

Denominators are 912,5408

The GCF of 7390,3667 is 1 .

LCM of 912,5408 is 308256.

The greatest common factor of 7390/912,3667/5408 = [GCF of 7390,3667]/[LCM of 912,5408]= 1/308256

Therefore, the GCF of 7390/912,3667/5408 is 1/308256.

Greatest Common Factor of 7390,3667

To find the highest common factor of 7390,3667, we have to find the factors of both numbers and list the highest common factor.

The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390

The factors of 3667 are 1, 19, 193, 3667

The HCF of 7390,3667 is 1.

Lets's calculate GCF of 7390,3667

Greatest Common Factor (GCF) of 7390,3667 By Common Division

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

Greatest Common Factor of 7390,3667 By Matching Biggest Common Factor Method

Now, list down the factors of 7390

1,2,5,10,739,1478,3695,7390

Now, list down the factors of 3667

1,19,193,3667

Greatest Common Factor

We found the factors 7390,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 7390,3667 is 1.

Lets's calculate LCM of 912,5408

Lowest Common Multiple of 912,5408 using Common Division

2	912, 5408
2	456, 2704
2	228, 1352
2	114, 676
	57, 338

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 57 x 338 = 308256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308256

Therefore, the GCF of Fractions 7390/912,3667/5408 is 1/308256

Least Common Multiple of 912,5408 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 912,5408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,5408) = 16

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

GCF(912,5408) x common factors =16 x 1 = 16

LCM(912,5408) = ( 912 × 5408 ) / 16

LCM(912,5408) = 4932096 / 16

LCM(912,5408) = 308256

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FAQs on GCF of Fractions of 7390/912, 3667/5408

1. What is the HCF of 7390,3667?

The HCF of 7390,3667 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 7390/912, 3667/5408?

Answer: GCF of Numerators as per given numbers 7390/912, 3667/5408 is

GCF of Numerators i.e. for 7390,3667 is 1

LCM of denominators i.e. for 912,5408 is 308256.

Thus, GCF of Fractions is 1/308256.Finally, GCF of Fractions for 7390/912, 3667/5408 is 1/308256.