Highest Common Factor of 807, 452, 753, 438 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 807, 452, 753, 438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 807, 452, 753, 438 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 807, 452, 753, 438 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 807, 452, 753, 438 is 1.

HCF(807, 452, 753, 438) = 1

HCF of 807, 452, 753, 438 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 807, 452, 753, 438 is 1.

Highest Common Factor of 807,452,753,438 using Euclid's algorithm

Highest Common Factor of 807,452,753,438 is 1

Step 1: Since 807 > 452, we apply the division lemma to 807 and 452, to get

807 = 452 x 1 + 355

Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 355 and 452, to get

452 = 355 x 1 + 97

Step 3: We consider the new divisor 355 and the new remainder 97, and apply the division lemma to get

355 = 97 x 3 + 64

We consider the new divisor 97 and the new remainder 64,and apply the division lemma to get

97 = 64 x 1 + 33

We consider the new divisor 64 and the new remainder 33,and apply the division lemma to get

64 = 33 x 1 + 31

We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get

33 = 31 x 1 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 1

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 807 and 452 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(64,33) = HCF(97,64) = HCF(355,97) = HCF(452,355) = HCF(807,452) .

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

Step 1: Since 753 > 1, we apply the division lemma to 753 and 1, to get

753 = 1 x 753 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 753 is 1

Notice that 1 = HCF(753,1) .

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

Step 1: Since 438 > 1, we apply the division lemma to 438 and 1, to get

438 = 1 x 438 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 438 is 1

Notice that 1 = HCF(438,1) .

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Frequently Asked Questions on HCF of 807, 452, 753, 438 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 807, 452, 753, 438?

Answer: HCF of 807, 452, 753, 438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 807, 452, 753, 438 using Euclid's Algorithm?

Answer: For arbitrary numbers 807, 452, 753, 438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.