Highest Common Factor of 564, 952, 985, 75 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 564, 952, 985, 75 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 564, 952, 985, 75 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 564, 952, 985, 75 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 564, 952, 985, 75 is 1.

HCF(564, 952, 985, 75) = 1

HCF of 564, 952, 985, 75 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 564, 952, 985, 75 is 1.

Highest Common Factor of 564,952,985,75 using Euclid's algorithm

Highest Common Factor of 564,952,985,75 is 1

Step 1: Since 952 > 564, we apply the division lemma to 952 and 564, to get

952 = 564 x 1 + 388

Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 388 and 564, to get

564 = 388 x 1 + 176

Step 3: We consider the new divisor 388 and the new remainder 176, and apply the division lemma to get

388 = 176 x 2 + 36

We consider the new divisor 176 and the new remainder 36,and apply the division lemma to get

176 = 36 x 4 + 32

We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get

36 = 32 x 1 + 4

We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get

32 = 4 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 564 and 952 is 4

Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(176,36) = HCF(388,176) = HCF(564,388) = HCF(952,564) .

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

Step 1: Since 985 > 4, we apply the division lemma to 985 and 4, to get

985 = 4 x 246 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 985 is 1

Notice that 1 = HCF(4,1) = HCF(985,4) .

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

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

75 = 1 x 75 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75 is 1

Notice that 1 = HCF(75,1) .

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Frequently Asked Questions on HCF of 564, 952, 985, 75 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 564, 952, 985, 75?

Answer: HCF of 564, 952, 985, 75 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 564, 952, 985, 75 using Euclid's Algorithm?

Answer: For arbitrary numbers 564, 952, 985, 75 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.