Highest Common Factor of 798, 572, 895 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 798, 572, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 798, 572, 895 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 798, 572, 895 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 798, 572, 895 is 1.
HCF(798, 572, 895) = 1
HCF of 798, 572, 895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 798, 572, 895 is 1.
Highest Common Factor of 798,572,895 is 1
Step 1: Since 798 > 572, we apply the division lemma to 798 and 572, to get
798 = 572 x 1 + 226
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 226 and 572, to get
572 = 226 x 2 + 120
Step 3: We consider the new divisor 226 and the new remainder 120, and apply the division lemma to get
226 = 120 x 1 + 106
We consider the new divisor 120 and the new remainder 106,and apply the division lemma to get
120 = 106 x 1 + 14
We consider the new divisor 106 and the new remainder 14,and apply the division lemma to get
106 = 14 x 7 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 798 and 572 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(106,14) = HCF(120,106) = HCF(226,120) = HCF(572,226) = HCF(798,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 895 > 2, we apply the division lemma to 895 and 2, to get
895 = 2 x 447 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 895 is 1
Notice that 1 = HCF(2,1) = HCF(895,2) .
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Frequently Asked Questions on HCF of 798, 572, 895 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 798, 572, 895?
Answer: HCF of 798, 572, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 798, 572, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 798, 572, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.