Highest Common Factor of 7769, 8681 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 7769, 8681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7769, 8681 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 7769, 8681 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 7769, 8681 is 1.
HCF(7769, 8681) = 1
HCF of 7769, 8681 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7769, 8681 is 1.
Highest Common Factor of 7769,8681 is 1
Step 1: Since 8681 > 7769, we apply the division lemma to 8681 and 7769, to get
8681 = 7769 x 1 + 912
Step 2: Since the reminder 7769 ≠ 0, we apply division lemma to 912 and 7769, to get
7769 = 912 x 8 + 473
Step 3: We consider the new divisor 912 and the new remainder 473, and apply the division lemma to get
912 = 473 x 1 + 439
We consider the new divisor 473 and the new remainder 439,and apply the division lemma to get
473 = 439 x 1 + 34
We consider the new divisor 439 and the new remainder 34,and apply the division lemma to get
439 = 34 x 12 + 31
We consider the new divisor 34 and the new remainder 31,and apply the division lemma to get
34 = 31 x 1 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7769 and 8681 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(34,31) = HCF(439,34) = HCF(473,439) = HCF(912,473) = HCF(7769,912) = HCF(8681,7769) .
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Frequently Asked Questions on HCF of 7769, 8681 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 7769, 8681?
Answer: HCF of 7769, 8681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7769, 8681 using Euclid's Algorithm?
Answer: For arbitrary numbers 7769, 8681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.