Highest Common Factor of 7747, 6709 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 7747, 6709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7747, 6709 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 7747, 6709 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 7747, 6709 is 1.
HCF(7747, 6709) = 1
HCF of 7747, 6709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7747, 6709 is 1.
Highest Common Factor of 7747,6709 is 1
Step 1: Since 7747 > 6709, we apply the division lemma to 7747 and 6709, to get
7747 = 6709 x 1 + 1038
Step 2: Since the reminder 6709 ≠ 0, we apply division lemma to 1038 and 6709, to get
6709 = 1038 x 6 + 481
Step 3: We consider the new divisor 1038 and the new remainder 481, and apply the division lemma to get
1038 = 481 x 2 + 76
We consider the new divisor 481 and the new remainder 76,and apply the division lemma to get
481 = 76 x 6 + 25
We consider the new divisor 76 and the new remainder 25,and apply the division lemma to get
76 = 25 x 3 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7747 and 6709 is 1
Notice that 1 = HCF(25,1) = HCF(76,25) = HCF(481,76) = HCF(1038,481) = HCF(6709,1038) = HCF(7747,6709) .
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Frequently Asked Questions on HCF of 7747, 6709 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 7747, 6709?
Answer: HCF of 7747, 6709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7747, 6709 using Euclid's Algorithm?
Answer: For arbitrary numbers 7747, 6709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.