Highest Common Factor of 6725, 7817 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 6725, 7817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6725, 7817 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 6725, 7817 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 6725, 7817 is 1.
HCF(6725, 7817) = 1
HCF of 6725, 7817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6725, 7817 is 1.
Highest Common Factor of 6725,7817 is 1
Step 1: Since 7817 > 6725, we apply the division lemma to 7817 and 6725, to get
7817 = 6725 x 1 + 1092
Step 2: Since the reminder 6725 ≠ 0, we apply division lemma to 1092 and 6725, to get
6725 = 1092 x 6 + 173
Step 3: We consider the new divisor 1092 and the new remainder 173, and apply the division lemma to get
1092 = 173 x 6 + 54
We consider the new divisor 173 and the new remainder 54,and apply the division lemma to get
173 = 54 x 3 + 11
We consider the new divisor 54 and the new remainder 11,and apply the division lemma to get
54 = 11 x 4 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6725 and 7817 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(54,11) = HCF(173,54) = HCF(1092,173) = HCF(6725,1092) = HCF(7817,6725) .
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Frequently Asked Questions on HCF of 6725, 7817 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 6725, 7817?
Answer: HCF of 6725, 7817 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6725, 7817 using Euclid's Algorithm?
Answer: For arbitrary numbers 6725, 7817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
