Highest Common Factor of 9891, 7771 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 9891, 7771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9891, 7771 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 9891, 7771 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 9891, 7771 is 1.
HCF(9891, 7771) = 1
HCF of 9891, 7771 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9891, 7771 is 1.
Highest Common Factor of 9891,7771 is 1
Step 1: Since 9891 > 7771, we apply the division lemma to 9891 and 7771, to get
9891 = 7771 x 1 + 2120
Step 2: Since the reminder 7771 ≠ 0, we apply division lemma to 2120 and 7771, to get
7771 = 2120 x 3 + 1411
Step 3: We consider the new divisor 2120 and the new remainder 1411, and apply the division lemma to get
2120 = 1411 x 1 + 709
We consider the new divisor 1411 and the new remainder 709,and apply the division lemma to get
1411 = 709 x 1 + 702
We consider the new divisor 709 and the new remainder 702,and apply the division lemma to get
709 = 702 x 1 + 7
We consider the new divisor 702 and the new remainder 7,and apply the division lemma to get
702 = 7 x 100 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9891 and 7771 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(702,7) = HCF(709,702) = HCF(1411,709) = HCF(2120,1411) = HCF(7771,2120) = HCF(9891,7771) .
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Frequently Asked Questions on HCF of 9891, 7771 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 9891, 7771?
Answer: HCF of 9891, 7771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9891, 7771 using Euclid's Algorithm?
Answer: For arbitrary numbers 9891, 7771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.