Highest Common Factor of 852, 627, 374, 875 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 852, 627, 374, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 852, 627, 374, 875 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 852, 627, 374, 875 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 852, 627, 374, 875 is 1.

HCF(852, 627, 374, 875) = 1

HCF of 852, 627, 374, 875 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 852, 627, 374, 875 is 1.

Highest Common Factor of 852,627,374,875 using Euclid's algorithm

Highest Common Factor of 852,627,374,875 is 1

Step 1: Since 852 > 627, we apply the division lemma to 852 and 627, to get

852 = 627 x 1 + 225

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 225 and 627, to get

627 = 225 x 2 + 177

Step 3: We consider the new divisor 225 and the new remainder 177, and apply the division lemma to get

225 = 177 x 1 + 48

We consider the new divisor 177 and the new remainder 48,and apply the division lemma to get

177 = 48 x 3 + 33

We consider the new divisor 48 and the new remainder 33,and apply the division lemma to get

48 = 33 x 1 + 15

We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get

33 = 15 x 2 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 852 and 627 is 3

Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(48,33) = HCF(177,48) = HCF(225,177) = HCF(627,225) = HCF(852,627) .

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

Step 1: Since 374 > 3, we apply the division lemma to 374 and 3, to get

374 = 3 x 124 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 3 and 374 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(374,3) .

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

Step 1: Since 875 > 1, we apply the division lemma to 875 and 1, to get

875 = 1 x 875 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 875 is 1

Notice that 1 = HCF(875,1) .

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Frequently Asked Questions on HCF of 852, 627, 374, 875 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 852, 627, 374, 875?

Answer: HCF of 852, 627, 374, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 852, 627, 374, 875 using Euclid's Algorithm?

Answer: For arbitrary numbers 852, 627, 374, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.