Highest Common Factor of 7991, 8919 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 7991, 8919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7991, 8919 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 7991, 8919 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 7991, 8919 is 1.
HCF(7991, 8919) = 1
HCF of 7991, 8919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7991, 8919 is 1.
Highest Common Factor of 7991,8919 is 1
Step 1: Since 8919 > 7991, we apply the division lemma to 8919 and 7991, to get
8919 = 7991 x 1 + 928
Step 2: Since the reminder 7991 ≠ 0, we apply division lemma to 928 and 7991, to get
7991 = 928 x 8 + 567
Step 3: We consider the new divisor 928 and the new remainder 567, and apply the division lemma to get
928 = 567 x 1 + 361
We consider the new divisor 567 and the new remainder 361,and apply the division lemma to get
567 = 361 x 1 + 206
We consider the new divisor 361 and the new remainder 206,and apply the division lemma to get
361 = 206 x 1 + 155
We consider the new divisor 206 and the new remainder 155,and apply the division lemma to get
206 = 155 x 1 + 51
We consider the new divisor 155 and the new remainder 51,and apply the division lemma to get
155 = 51 x 3 + 2
We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get
51 = 2 x 25 + 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 7991 and 8919 is 1
Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(155,51) = HCF(206,155) = HCF(361,206) = HCF(567,361) = HCF(928,567) = HCF(7991,928) = HCF(8919,7991) .
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Frequently Asked Questions on HCF of 7991, 8919 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 7991, 8919?
Answer: HCF of 7991, 8919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7991, 8919 using Euclid's Algorithm?
Answer: For arbitrary numbers 7991, 8919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.