How to Find GCF of 9386/653, 8056/630?

GCF of 9386/653, 8056/630

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 9386/653, 8056/630 i.e 38/411390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9386/653, 8056/630.

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 9386/653,8056/630?

Given fractions are 9386/653,8056/630

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 9386/653,8056/630, numerators are 9386,8056

Denominators are 653,630

The GCF of 9386,8056 is 38 .

LCM of 653,630 is 411390.

The greatest common factor of 9386/653,8056/630 = [GCF of 9386,8056]/[LCM of 653,630]= 38/411390

Therefore, the GCF of 9386/653,8056/630 is 38/411390.

Greatest Common Factor of 9386,8056

To find the highest common factor of 9386,8056, we have to find the factors of both numbers and list the highest common factor.

The factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386

The factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056

The HCF of 9386,8056 is 38.

Lets's calculate GCF of 9386,8056

Greatest Common Factor (GCF) of 9386,8056 By Common Division

2	9386, 8056
19	4693, 4028
	247, 212

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 9386,8056 By Matching Biggest Common Factor Method

Now, list down the factors of 9386

1,2,13,19,26,38,247,361,494,722,4693,9386

Now, list down the factors of 8056

1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056

Greatest Common Factor

We found the factors 9386,8056 . The biggest common factor number is the GCF number.
So the greatest common factor 9386,8056 is 38.

Lets's calculate LCM of 653,630

Lowest Common Multiple of 653,630 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 411390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/411390

Therefore, the GCF of Fractions 9386/653,8056/630 is 38/411390

Least Common Multiple of 653,630 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 653,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,630) = 1

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

GCF(653,630) x common factors =1 x 1 = 1

LCM(653,630) = ( 653 × 630 ) / 1

LCM(653,630) = 411390 / 1

LCM(653,630) = 411390

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FAQs on GCF of Fractions of 9386/653, 8056/630

1. What is the HCF of 9386,8056?

The HCF of 9386,8056 is 38

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 9386/653, 8056/630?

Answer: GCF of Numerators as per given numbers 9386/653, 8056/630 is

GCF of Numerators i.e. for 9386,8056 is 38

LCM of denominators i.e. for 653,630 is 411390.

Thus, GCF of Fractions is 38/411390.Finally, GCF of Fractions for 9386/653, 8056/630 is 38/411390.