How to Find GCF of 7288/281, 9248/5774?

GCF of 7288/281, 9248/5774

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 7288/281, 9248/5774 i.e 8/1622494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7288/281, 9248/5774.

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 7288/281,9248/5774?

Given fractions are 7288/281,9248/5774

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 7288/281,9248/5774, numerators are 7288,9248

Denominators are 281,5774

The GCF of 7288,9248 is 8 .

LCM of 281,5774 is 1622494.

The greatest common factor of 7288/281,9248/5774 = [GCF of 7288,9248]/[LCM of 281,5774]= 8/1622494

Therefore, the GCF of 7288/281,9248/5774 is 8/1622494.

Greatest Common Factor of 7288,9248

To find the highest common factor of 7288,9248, we have to find the factors of both numbers and list the highest common factor.

The factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288

The factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248

The HCF of 7288,9248 is 8.

Lets's calculate GCF of 7288,9248

Greatest Common Factor (GCF) of 7288,9248 By Common Division

2	7288, 9248
2	3644, 4624
2	1822, 2312
	911, 1156

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7288,9248 By Matching Biggest Common Factor Method

Now, list down the factors of 7288

1,2,4,8,911,1822,3644,7288

Now, list down the factors of 9248

1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248

Greatest Common Factor

We found the factors 7288,9248 . The biggest common factor number is the GCF number.
So the greatest common factor 7288,9248 is 8.

Lets's calculate LCM of 281,5774

Lowest Common Multiple of 281,5774 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1622494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1622494

Therefore, the GCF of Fractions 7288/281,9248/5774 is 8/1622494

Least Common Multiple of 281,5774 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 281,5774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,5774) = 1

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

GCF(281,5774) x common factors =1 x 1 = 1

LCM(281,5774) = ( 281 × 5774 ) / 1

LCM(281,5774) = 1622494 / 1

LCM(281,5774) = 1622494

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FAQs on GCF of Fractions of 7288/281, 9248/5774

1. What is the HCF of 7288,9248?

The HCF of 7288,9248 is 8

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 7288/281, 9248/5774?

Answer: GCF of Numerators as per given numbers 7288/281, 9248/5774 is

GCF of Numerators i.e. for 7288,9248 is 8

LCM of denominators i.e. for 281,5774 is 1622494.

Thus, GCF of Fractions is 8/1622494.Finally, GCF of Fractions for 7288/281, 9248/5774 is 8/1622494.