Highest Common Factor of 534, 325, 130 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 534, 325, 130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 534, 325, 130 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 534, 325, 130 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 534, 325, 130 is 1.

HCF(534, 325, 130) = 1

HCF of 534, 325, 130 using Euclid's algorithm

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

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Highest common factor (HCF) of 534, 325, 130 is 1.

Highest Common Factor of 534,325,130 using Euclid's algorithm

Highest Common Factor of 534,325,130 is 1

Step 1: Since 534 > 325, we apply the division lemma to 534 and 325, to get

534 = 325 x 1 + 209

Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 209 and 325, to get

325 = 209 x 1 + 116

Step 3: We consider the new divisor 209 and the new remainder 116, and apply the division lemma to get

209 = 116 x 1 + 93

We consider the new divisor 116 and the new remainder 93,and apply the division lemma to get

116 = 93 x 1 + 23

We consider the new divisor 93 and the new remainder 23,and apply the division lemma to get

93 = 23 x 4 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 534 and 325 is 1

Notice that 1 = HCF(23,1) = HCF(93,23) = HCF(116,93) = HCF(209,116) = HCF(325,209) = HCF(534,325) .

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

Step 1: Since 130 > 1, we apply the division lemma to 130 and 1, to get

130 = 1 x 130 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 130 is 1

Notice that 1 = HCF(130,1) .

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Frequently Asked Questions on HCF of 534, 325, 130 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 534, 325, 130?

Answer: HCF of 534, 325, 130 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 534, 325, 130 using Euclid's Algorithm?

Answer: For arbitrary numbers 534, 325, 130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.