Highest Common Factor of 777, 6823 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 777, 6823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 777, 6823 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 777, 6823 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 777, 6823 is 1.
HCF(777, 6823) = 1
HCF of 777, 6823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 777, 6823 is 1.
Highest Common Factor of 777,6823 is 1
Step 1: Since 6823 > 777, we apply the division lemma to 6823 and 777, to get
6823 = 777 x 8 + 607
Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 607 and 777, to get
777 = 607 x 1 + 170
Step 3: We consider the new divisor 607 and the new remainder 170, and apply the division lemma to get
607 = 170 x 3 + 97
We consider the new divisor 170 and the new remainder 97,and apply the division lemma to get
170 = 97 x 1 + 73
We consider the new divisor 97 and the new remainder 73,and apply the division lemma to get
97 = 73 x 1 + 24
We consider the new divisor 73 and the new remainder 24,and apply the division lemma to get
73 = 24 x 3 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 777 and 6823 is 1
Notice that 1 = HCF(24,1) = HCF(73,24) = HCF(97,73) = HCF(170,97) = HCF(607,170) = HCF(777,607) = HCF(6823,777) .
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Frequently Asked Questions on HCF of 777, 6823 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 777, 6823?
Answer: HCF of 777, 6823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 777, 6823 using Euclid's Algorithm?
Answer: For arbitrary numbers 777, 6823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.