Highest Common Factor of 996, 851 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 996, 851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 996, 851 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 996, 851 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 996, 851 is 1.
HCF(996, 851) = 1
HCF of 996, 851 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 996, 851 is 1.
Highest Common Factor of 996,851 is 1
Step 1: Since 996 > 851, we apply the division lemma to 996 and 851, to get
996 = 851 x 1 + 145
Step 2: Since the reminder 851 ≠ 0, we apply division lemma to 145 and 851, to get
851 = 145 x 5 + 126
Step 3: We consider the new divisor 145 and the new remainder 126, and apply the division lemma to get
145 = 126 x 1 + 19
We consider the new divisor 126 and the new remainder 19,and apply the division lemma to get
126 = 19 x 6 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 996 and 851 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(126,19) = HCF(145,126) = HCF(851,145) = HCF(996,851) .
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Frequently Asked Questions on HCF of 996, 851 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 996, 851?
Answer: HCF of 996, 851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 996, 851 using Euclid's Algorithm?
Answer: For arbitrary numbers 996, 851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.