How to Find GCF of 9419/752, 7105/4616?

GCF of 9419/752, 7105/4616

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 9419/752, 7105/4616 i.e 1/433904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9419/752, 7105/4616.

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 9419/752,7105/4616?

Given fractions are 9419/752,7105/4616

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 9419/752,7105/4616, numerators are 9419,7105

Denominators are 752,4616

The GCF of 9419,7105 is 1 .

LCM of 752,4616 is 433904.

The greatest common factor of 9419/752,7105/4616 = [GCF of 9419,7105]/[LCM of 752,4616]= 1/433904

Therefore, the GCF of 9419/752,7105/4616 is 1/433904.

Greatest Common Factor of 9419,7105

To find the highest common factor of 9419,7105, we have to find the factors of both numbers and list the highest common factor.

The factors of 9419 are 1, 9419

The factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105

The HCF of 9419,7105 is 1.

Lets's calculate GCF of 9419,7105

Greatest Common Factor (GCF) of 9419,7105 By Common Division

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

Greatest Common Factor of 9419,7105 By Matching Biggest Common Factor Method

Now, list down the factors of 9419

1,9419

Now, list down the factors of 7105

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 9419,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 9419,7105 is 1.

Lets's calculate LCM of 752,4616

Lowest Common Multiple of 752,4616 using Common Division

2	752, 4616
2	376, 2308
2	188, 1154
	94, 577

∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 577 = 433904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433904

Therefore, the GCF of Fractions 9419/752,7105/4616 is 1/433904

Least Common Multiple of 752,4616 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 752,4616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,4616) = 8

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

GCF(752,4616) x common factors =8 x 1 = 8

LCM(752,4616) = ( 752 × 4616 ) / 8

LCM(752,4616) = 3471232 / 8

LCM(752,4616) = 433904

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FAQs on GCF of Fractions of 9419/752, 7105/4616

1. What is the HCF of 9419,7105?

The HCF of 9419,7105 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 9419/752, 7105/4616?

Answer: GCF of Numerators as per given numbers 9419/752, 7105/4616 is

GCF of Numerators i.e. for 9419,7105 is 1

LCM of denominators i.e. for 752,4616 is 433904.

Thus, GCF of Fractions is 1/433904.Finally, GCF of Fractions for 9419/752, 7105/4616 is 1/433904.