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GCF of 4562/609, 8623/8827

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 4562/609, 8623/8827 i.e 1/767949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4562/609, 8623/8827.

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 4562/609,8623/8827?

Given fractions are 4562/609,8623/8827

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 4562/609,8623/8827, numerators are 4562,8623

Denominators are 609,8827

The GCF of 4562,8623 is 1 .

LCM of 609,8827 is 767949.

The greatest common factor of 4562/609,8623/8827 = [GCF of 4562,8623]/[LCM of 609,8827]= 1/767949

Therefore, the GCF of 4562/609,8623/8827 is 1/767949.

Greatest Common Factor of 4562,8623

To find the highest common factor of 4562,8623, we have to find the factors of both numbers and list the highest common factor.

The factors of 4562 are 1, 2, 2281, 4562

The factors of 8623 are 1, 8623

The HCF of 4562,8623 is 1.

Lets's calculate GCF of 4562,8623

Greatest Common Factor (GCF) of 4562,8623 By Common Division

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

Greatest Common Factor of 4562,8623 By Matching Biggest Common Factor Method

Greatest Common Factor of 4562,8623 By Matching Biggest Common Factor Method

Now, list down the factors of 4562

:

1,2,2281,4562

Now, list down the factors of 8623

:

1,8623

Greatest Common Factor

We found the factors 4562,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 4562,8623 is 1.

Lets's calculate LCM of 609,8827

Lowest Common Multiple of 609,8827 using Common Division

7 609, 8827
87, 1261

∴ So the LCM of the given numbers is 7 x 87 x 1261 = 767949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767949

Therefore, the GCF of Fractions 4562/609,8623/8827 is 1/767949

Least Common Multiple of 609,8827 with GCF Formula

Least Common Multiple of 609,8827 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 609,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,8827) = 7

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

GCF(609,8827) x common factors =7 x 1 = 7

LCM(609,8827) = ( 609 × 8827 ) / 7

LCM(609,8827) = 5375643 / 7

LCM(609,8827) = 767949


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FAQs on GCF of Fractions of 4562/609, 8623/8827

1. What is the HCF of 4562,8623?

The HCF of 4562,8623 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 4562/609, 8623/8827?

Answer: GCF of Numerators as per given numbers 4562/609, 8623/8827 is

GCF of Numerators i.e. for 4562,8623 is 1

LCM of denominators i.e. for 609,8827 is 767949.

Thus, GCF of Fractions is 1/767949.Finally, GCF of Fractions for 4562/609, 8623/8827 is 1/767949.