Highest Common Factor of 520, 934, 75, 602 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 520, 934, 75, 602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 520, 934, 75, 602 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 520, 934, 75, 602 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 520, 934, 75, 602 is 1.

HCF(520, 934, 75, 602) = 1

HCF of 520, 934, 75, 602 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 520, 934, 75, 602 is 1.

Highest Common Factor of 520,934,75,602 using Euclid's algorithm

Highest Common Factor of 520,934,75,602 is 1

Step 1: Since 934 > 520, we apply the division lemma to 934 and 520, to get

934 = 520 x 1 + 414

Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 414 and 520, to get

520 = 414 x 1 + 106

Step 3: We consider the new divisor 414 and the new remainder 106, and apply the division lemma to get

414 = 106 x 3 + 96

We consider the new divisor 106 and the new remainder 96,and apply the division lemma to get

106 = 96 x 1 + 10

We consider the new divisor 96 and the new remainder 10,and apply the division lemma to get

96 = 10 x 9 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 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 520 and 934 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(96,10) = HCF(106,96) = HCF(414,106) = HCF(520,414) = HCF(934,520) .

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

Step 1: Since 75 > 2, we apply the division lemma to 75 and 2, to get

75 = 2 x 37 + 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 75 is 1

Notice that 1 = HCF(2,1) = HCF(75,2) .

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

Step 1: Since 602 > 1, we apply the division lemma to 602 and 1, to get

602 = 1 x 602 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 602 is 1

Notice that 1 = HCF(602,1) .

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Frequently Asked Questions on HCF of 520, 934, 75, 602 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 520, 934, 75, 602?

Answer: HCF of 520, 934, 75, 602 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 520, 934, 75, 602 using Euclid's Algorithm?

Answer: For arbitrary numbers 520, 934, 75, 602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.