Highest Common Factor of 425, 734, 670 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 425, 734, 670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 425, 734, 670 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 425, 734, 670 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 425, 734, 670 is 1.

HCF(425, 734, 670) = 1

HCF of 425, 734, 670 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 425, 734, 670 is 1.

Highest Common Factor of 425,734,670 using Euclid's algorithm

Highest Common Factor of 425,734,670 is 1

Step 1: Since 734 > 425, we apply the division lemma to 734 and 425, to get

734 = 425 x 1 + 309

Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 309 and 425, to get

425 = 309 x 1 + 116

Step 3: We consider the new divisor 309 and the new remainder 116, and apply the division lemma to get

309 = 116 x 2 + 77

We consider the new divisor 116 and the new remainder 77,and apply the division lemma to get

116 = 77 x 1 + 39

We consider the new divisor 77 and the new remainder 39,and apply the division lemma to get

77 = 39 x 1 + 38

We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get

39 = 38 x 1 + 1

We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get

38 = 1 x 38 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 425 and 734 is 1

Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(77,39) = HCF(116,77) = HCF(309,116) = HCF(425,309) = HCF(734,425) .

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

Step 1: Since 670 > 1, we apply the division lemma to 670 and 1, to get

670 = 1 x 670 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 670 is 1

Notice that 1 = HCF(670,1) .

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Frequently Asked Questions on HCF of 425, 734, 670 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 425, 734, 670?

Answer: HCF of 425, 734, 670 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 425, 734, 670 using Euclid's Algorithm?

Answer: For arbitrary numbers 425, 734, 670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.