Highest Common Factor of 332, 972, 868, 713 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 332, 972, 868, 713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 332, 972, 868, 713 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 332, 972, 868, 713 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 332, 972, 868, 713 is 1.

HCF(332, 972, 868, 713) = 1

HCF of 332, 972, 868, 713 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 332, 972, 868, 713 is 1.

Highest Common Factor of 332,972,868,713 using Euclid's algorithm

Highest Common Factor of 332,972,868,713 is 1

Step 1: Since 972 > 332, we apply the division lemma to 972 and 332, to get

972 = 332 x 2 + 308

Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 308 and 332, to get

332 = 308 x 1 + 24

Step 3: We consider the new divisor 308 and the new remainder 24, and apply the division lemma to get

308 = 24 x 12 + 20

We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get

24 = 20 x 1 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 332 and 972 is 4

Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(308,24) = HCF(332,308) = HCF(972,332) .

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

Step 1: Since 868 > 4, we apply the division lemma to 868 and 4, to get

868 = 4 x 217 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 868 is 4

Notice that 4 = HCF(868,4) .

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

Step 1: Since 713 > 4, we apply the division lemma to 713 and 4, to get

713 = 4 x 178 + 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 713 is 1

Notice that 1 = HCF(4,1) = HCF(713,4) .

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Frequently Asked Questions on HCF of 332, 972, 868, 713 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 332, 972, 868, 713?

Answer: HCF of 332, 972, 868, 713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 332, 972, 868, 713 using Euclid's Algorithm?

Answer: For arbitrary numbers 332, 972, 868, 713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.