Highest Common Factor of 8734, 6777 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 8734, 6777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8734, 6777 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 8734, 6777 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 8734, 6777 is 1.
HCF(8734, 6777) = 1
HCF of 8734, 6777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8734, 6777 is 1.
Highest Common Factor of 8734,6777 is 1
Step 1: Since 8734 > 6777, we apply the division lemma to 8734 and 6777, to get
8734 = 6777 x 1 + 1957
Step 2: Since the reminder 6777 ≠ 0, we apply division lemma to 1957 and 6777, to get
6777 = 1957 x 3 + 906
Step 3: We consider the new divisor 1957 and the new remainder 906, and apply the division lemma to get
1957 = 906 x 2 + 145
We consider the new divisor 906 and the new remainder 145,and apply the division lemma to get
906 = 145 x 6 + 36
We consider the new divisor 145 and the new remainder 36,and apply the division lemma to get
145 = 36 x 4 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8734 and 6777 is 1
Notice that 1 = HCF(36,1) = HCF(145,36) = HCF(906,145) = HCF(1957,906) = HCF(6777,1957) = HCF(8734,6777) .
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Frequently Asked Questions on HCF of 8734, 6777 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 8734, 6777?
Answer: HCF of 8734, 6777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8734, 6777 using Euclid's Algorithm?
Answer: For arbitrary numbers 8734, 6777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.