Highest Common Factor of 607, 840, 136 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 607, 840, 136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 607, 840, 136 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 607, 840, 136 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 607, 840, 136 is 1.

HCF(607, 840, 136) = 1

HCF of 607, 840, 136 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 607, 840, 136 is 1.

Highest Common Factor of 607,840,136 using Euclid's algorithm

Highest Common Factor of 607,840,136 is 1

Step 1: Since 840 > 607, we apply the division lemma to 840 and 607, to get

840 = 607 x 1 + 233

Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 233 and 607, to get

607 = 233 x 2 + 141

Step 3: We consider the new divisor 233 and the new remainder 141, and apply the division lemma to get

233 = 141 x 1 + 92

We consider the new divisor 141 and the new remainder 92,and apply the division lemma to get

141 = 92 x 1 + 49

We consider the new divisor 92 and the new remainder 49,and apply the division lemma to get

92 = 49 x 1 + 43

We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get

49 = 43 x 1 + 6

We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get

43 = 6 x 7 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 840 is 1

Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(92,49) = HCF(141,92) = HCF(233,141) = HCF(607,233) = HCF(840,607) .

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

Step 1: Since 136 > 1, we apply the division lemma to 136 and 1, to get

136 = 1 x 136 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 136 is 1

Notice that 1 = HCF(136,1) .

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Frequently Asked Questions on HCF of 607, 840, 136 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 607, 840, 136?

Answer: HCF of 607, 840, 136 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 607, 840, 136 using Euclid's Algorithm?

Answer: For arbitrary numbers 607, 840, 136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.