Highest Common Factor of 6807, 8754 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 6807, 8754 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6807, 8754 is 3 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 6807, 8754 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 6807, 8754 is 3.
HCF(6807, 8754) = 3
HCF of 6807, 8754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6807, 8754 is 3.
Highest Common Factor of 6807,8754 is 3
Step 1: Since 8754 > 6807, we apply the division lemma to 8754 and 6807, to get
8754 = 6807 x 1 + 1947
Step 2: Since the reminder 6807 ≠ 0, we apply division lemma to 1947 and 6807, to get
6807 = 1947 x 3 + 966
Step 3: We consider the new divisor 1947 and the new remainder 966, and apply the division lemma to get
1947 = 966 x 2 + 15
We consider the new divisor 966 and the new remainder 15,and apply the division lemma to get
966 = 15 x 64 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6807 and 8754 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(966,15) = HCF(1947,966) = HCF(6807,1947) = HCF(8754,6807) .
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Frequently Asked Questions on HCF of 6807, 8754 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 6807, 8754?
Answer: HCF of 6807, 8754 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6807, 8754 using Euclid's Algorithm?
Answer: For arbitrary numbers 6807, 8754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
