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GCF of 9814/850, 2733/996

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 9814/850, 2733/996 i.e 1/423300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9814/850, 2733/996.

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 9814/850,2733/996?

Given fractions are 9814/850,2733/996

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 9814/850,2733/996, numerators are 9814,2733

Denominators are 850,996

The GCF of 9814,2733 is 1 .

LCM of 850,996 is 423300.

The greatest common factor of 9814/850,2733/996 = [GCF of 9814,2733]/[LCM of 850,996]= 1/423300

Therefore, the GCF of 9814/850,2733/996 is 1/423300.

Greatest Common Factor of 9814,2733

To find the highest common factor of 9814,2733, we have to find the factors of both numbers and list the highest common factor.

The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814

The factors of 2733 are 1, 3, 911, 2733

The HCF of 9814,2733 is 1.

Lets's calculate GCF of 9814,2733

Greatest Common Factor (GCF) of 9814,2733 By Common Division

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

Greatest Common Factor of 9814,2733 By Matching Biggest Common Factor Method

Greatest Common Factor of 9814,2733 By Matching Biggest Common Factor Method

Now, list down the factors of 9814

:

1,2,7,14,701,1402,4907,9814

Now, list down the factors of 2733

:

1,3,911,2733

Greatest Common Factor

We found the factors 9814,2733 . The biggest common factor number is the GCF number.
So the greatest common factor 9814,2733 is 1.

Lets's calculate LCM of 850,996

Lowest Common Multiple of 850,996 using Common Division

2 850, 996
425, 498

∴ So the LCM of the given numbers is 2 x 425 x 498 = 423300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423300

Therefore, the GCF of Fractions 9814/850,2733/996 is 1/423300

Least Common Multiple of 850,996 with GCF Formula

Least Common Multiple of 850,996 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 850,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,996) = 2

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

GCF(850,996) x common factors =2 x 1 = 2

LCM(850,996) = ( 850 × 996 ) / 2

LCM(850,996) = 846600 / 2

LCM(850,996) = 423300


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FAQs on GCF of Fractions of 9814/850, 2733/996

1. What is the HCF of 9814,2733?

The HCF of 9814,2733 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 9814/850, 2733/996?

Answer: GCF of Numerators as per given numbers 9814/850, 2733/996 is

GCF of Numerators i.e. for 9814,2733 is 1

LCM of denominators i.e. for 850,996 is 423300.

Thus, GCF of Fractions is 1/423300.Finally, GCF of Fractions for 9814/850, 2733/996 is 1/423300.