Highest Common Factor of 426, 616, 39, 134 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 426, 616, 39, 134 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 426, 616, 39, 134 is 1 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 426, 616, 39, 134 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 426, 616, 39, 134 is 1.

HCF(426, 616, 39, 134) = 1

HCF of 426, 616, 39, 134 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 426, 616, 39, 134 is 1.

Highest Common Factor of 426,616,39,134 using Euclid's algorithm

Highest Common Factor of 426,616,39,134 is 1

Step 1: Since 616 > 426, we apply the division lemma to 616 and 426, to get

616 = 426 x 1 + 190

Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 190 and 426, to get

426 = 190 x 2 + 46

Step 3: We consider the new divisor 190 and the new remainder 46, and apply the division lemma to get

190 = 46 x 4 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 426 and 616 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(190,46) = HCF(426,190) = HCF(616,426) .

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

Step 1: Since 39 > 2, we apply the division lemma to 39 and 2, to get

39 = 2 x 19 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 39 is 1

Notice that 1 = HCF(2,1) = HCF(39,2) .

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

Step 1: Since 134 > 1, we apply the division lemma to 134 and 1, to get

134 = 1 x 134 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 134 is 1

Notice that 1 = HCF(134,1) .

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Frequently Asked Questions on HCF of 426, 616, 39, 134 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 426, 616, 39, 134?

Answer: HCF of 426, 616, 39, 134 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 426, 616, 39, 134 using Euclid's Algorithm?

Answer: For arbitrary numbers 426, 616, 39, 134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.