Highest Common Factor of 7867, 6787 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 7867, 6787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7867, 6787 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 7867, 6787 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 7867, 6787 is 1.
HCF(7867, 6787) = 1
HCF of 7867, 6787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7867, 6787 is 1.
Highest Common Factor of 7867,6787 is 1
Step 1: Since 7867 > 6787, we apply the division lemma to 7867 and 6787, to get
7867 = 6787 x 1 + 1080
Step 2: Since the reminder 6787 ≠ 0, we apply division lemma to 1080 and 6787, to get
6787 = 1080 x 6 + 307
Step 3: We consider the new divisor 1080 and the new remainder 307, and apply the division lemma to get
1080 = 307 x 3 + 159
We consider the new divisor 307 and the new remainder 159,and apply the division lemma to get
307 = 159 x 1 + 148
We consider the new divisor 159 and the new remainder 148,and apply the division lemma to get
159 = 148 x 1 + 11
We consider the new divisor 148 and the new remainder 11,and apply the division lemma to get
148 = 11 x 13 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7867 and 6787 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(148,11) = HCF(159,148) = HCF(307,159) = HCF(1080,307) = HCF(6787,1080) = HCF(7867,6787) .
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Frequently Asked Questions on HCF of 7867, 6787 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 7867, 6787?
Answer: HCF of 7867, 6787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7867, 6787 using Euclid's Algorithm?
Answer: For arbitrary numbers 7867, 6787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.