Highest Common Factor of 799, 527, 638, 576 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 799, 527, 638, 576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 799, 527, 638, 576 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 799, 527, 638, 576 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 799, 527, 638, 576 is 1.
HCF(799, 527, 638, 576) = 1
HCF of 799, 527, 638, 576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 799, 527, 638, 576 is 1.
Highest Common Factor of 799,527,638,576 is 1
Step 1: Since 799 > 527, we apply the division lemma to 799 and 527, to get
799 = 527 x 1 + 272
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 272 and 527, to get
527 = 272 x 1 + 255
Step 3: We consider the new divisor 272 and the new remainder 255, and apply the division lemma to get
272 = 255 x 1 + 17
We consider the new divisor 255 and the new remainder 17, and apply the division lemma to get
255 = 17 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 799 and 527 is 17
Notice that 17 = HCF(255,17) = HCF(272,255) = HCF(527,272) = HCF(799,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 638 > 17, we apply the division lemma to 638 and 17, to get
638 = 17 x 37 + 9
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 9 and 17, to get
17 = 9 x 1 + 8
Step 3: We consider the new divisor 9 and the new remainder 8, and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 17 and 638 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(638,17) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 576 > 1, we apply the division lemma to 576 and 1, to get
576 = 1 x 576 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 576 is 1
Notice that 1 = HCF(576,1) .
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Frequently Asked Questions on HCF of 799, 527, 638, 576 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 799, 527, 638, 576?
Answer: HCF of 799, 527, 638, 576 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 799, 527, 638, 576 using Euclid's Algorithm?
Answer: For arbitrary numbers 799, 527, 638, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.