Highest Common Factor of 842, 994, 614 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 842, 994, 614 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 842, 994, 614 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 842, 994, 614 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 842, 994, 614 is 2.

HCF(842, 994, 614) = 2

HCF of 842, 994, 614 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 842, 994, 614 is 2.

Highest Common Factor of 842,994,614 using Euclid's algorithm

Highest Common Factor of 842,994,614 is 2

Step 1: Since 994 > 842, we apply the division lemma to 994 and 842, to get

994 = 842 x 1 + 152

Step 2: Since the reminder 842 ≠ 0, we apply division lemma to 152 and 842, to get

842 = 152 x 5 + 82

Step 3: We consider the new divisor 152 and the new remainder 82, and apply the division lemma to get

152 = 82 x 1 + 70

We consider the new divisor 82 and the new remainder 70,and apply the division lemma to get

82 = 70 x 1 + 12

We consider the new divisor 70 and the new remainder 12,and apply the division lemma to get

70 = 12 x 5 + 10

We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get

12 = 10 x 1 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 842 and 994 is 2

Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(70,12) = HCF(82,70) = HCF(152,82) = HCF(842,152) = HCF(994,842) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 614 > 2, we apply the division lemma to 614 and 2, to get

614 = 2 x 307 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 614 is 2

Notice that 2 = HCF(614,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 842, 994, 614 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 842, 994, 614?

Answer: HCF of 842, 994, 614 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 842, 994, 614 using Euclid's Algorithm?

Answer: For arbitrary numbers 842, 994, 614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.