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GCF of 2312/830, 1324/813

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 2312/830, 1324/813 i.e 4/674790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2312/830, 1324/813.

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 2312/830,1324/813?

Given fractions are 2312/830,1324/813

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 2312/830,1324/813, numerators are 2312,1324

Denominators are 830,813

The GCF of 2312,1324 is 4 .

LCM of 830,813 is 674790.

The greatest common factor of 2312/830,1324/813 = [GCF of 2312,1324]/[LCM of 830,813]= 4/674790

Therefore, the GCF of 2312/830,1324/813 is 4/674790.

Greatest Common Factor of 2312,1324

To find the highest common factor of 2312,1324, we have to find the factors of both numbers and list the highest common factor.

The factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312

The factors of 1324 are 1, 2, 4, 331, 662, 1324

The HCF of 2312,1324 is 4.

Lets's calculate GCF of 2312,1324

Greatest Common Factor (GCF) of 2312,1324 By Common Division

2 2312, 1324
2 1156, 662
578, 331

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2312,1324 By Matching Biggest Common Factor Method

Greatest Common Factor of 2312,1324 By Matching Biggest Common Factor Method

Now, list down the factors of 2312

:

1,2,4,8,17,34,68,136,289,578,1156,2312

Now, list down the factors of 1324

:

1,2,4,331,662,1324

Greatest Common Factor

We found the factors 2312,1324 . The biggest common factor number is the GCF number.
So the greatest common factor 2312,1324 is 4.


Lets's calculate LCM of 830,813

Lowest Common Multiple of 830,813 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 674790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/674790

Therefore, the GCF of Fractions 2312/830,1324/813 is 4/674790

Least Common Multiple of 830,813 with GCF Formula

Least Common Multiple of 830,813 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 830,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,813) = 1

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

GCF(830,813) x common factors =1 x 1 = 1

LCM(830,813) = ( 830 × 813 ) / 1

LCM(830,813) = 674790 / 1

LCM(830,813) = 674790


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2312/830, 1324/813

1. What is the HCF of 2312,1324?

The HCF of 2312,1324 is 4

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 2312/830, 1324/813?

Answer: GCF of Numerators as per given numbers 2312/830, 1324/813 is

GCF of Numerators i.e. for 2312,1324 is 4

LCM of denominators i.e. for 830,813 is 674790.

Thus, GCF of Fractions is 4/674790.Finally, GCF of Fractions for 2312/830, 1324/813 is 4/674790.