Highest Common Factor of 6912, 8777 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 6912, 8777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6912, 8777 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 6912, 8777 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 6912, 8777 is 1.
HCF(6912, 8777) = 1
HCF of 6912, 8777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6912, 8777 is 1.
Highest Common Factor of 6912,8777 is 1
Step 1: Since 8777 > 6912, we apply the division lemma to 8777 and 6912, to get
8777 = 6912 x 1 + 1865
Step 2: Since the reminder 6912 ≠ 0, we apply division lemma to 1865 and 6912, to get
6912 = 1865 x 3 + 1317
Step 3: We consider the new divisor 1865 and the new remainder 1317, and apply the division lemma to get
1865 = 1317 x 1 + 548
We consider the new divisor 1317 and the new remainder 548,and apply the division lemma to get
1317 = 548 x 2 + 221
We consider the new divisor 548 and the new remainder 221,and apply the division lemma to get
548 = 221 x 2 + 106
We consider the new divisor 221 and the new remainder 106,and apply the division lemma to get
221 = 106 x 2 + 9
We consider the new divisor 106 and the new remainder 9,and apply the division lemma to get
106 = 9 x 11 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6912 and 8777 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(106,9) = HCF(221,106) = HCF(548,221) = HCF(1317,548) = HCF(1865,1317) = HCF(6912,1865) = HCF(8777,6912) .
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Frequently Asked Questions on HCF of 6912, 8777 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 6912, 8777?
Answer: HCF of 6912, 8777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6912, 8777 using Euclid's Algorithm?
Answer: For arbitrary numbers 6912, 8777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.