Highest Common Factor of 751, 485, 992, 868 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 751, 485, 992, 868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 485, 992, 868 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 751, 485, 992, 868 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 751, 485, 992, 868 is 1.

HCF(751, 485, 992, 868) = 1

HCF of 751, 485, 992, 868 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 751, 485, 992, 868 is 1.

Highest Common Factor of 751,485,992,868 using Euclid's algorithm

Highest Common Factor of 751,485,992,868 is 1

Step 1: Since 751 > 485, we apply the division lemma to 751 and 485, to get

751 = 485 x 1 + 266

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 266 and 485, to get

485 = 266 x 1 + 219

Step 3: We consider the new divisor 266 and the new remainder 219, and apply the division lemma to get

266 = 219 x 1 + 47

We consider the new divisor 219 and the new remainder 47,and apply the division lemma to get

219 = 47 x 4 + 31

We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get

47 = 31 x 1 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 485 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(219,47) = HCF(266,219) = HCF(485,266) = HCF(751,485) .

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

Step 1: Since 992 > 1, we apply the division lemma to 992 and 1, to get

992 = 1 x 992 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 992 is 1

Notice that 1 = HCF(992,1) .

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

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

868 = 1 x 868 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 868 is 1

Notice that 1 = HCF(868,1) .

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Frequently Asked Questions on HCF of 751, 485, 992, 868 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 751, 485, 992, 868?

Answer: HCF of 751, 485, 992, 868 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 485, 992, 868 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 485, 992, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.