Highest Common Factor of 922, 77763 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 922, 77763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 922, 77763 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 922, 77763 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 922, 77763 is 1.
HCF(922, 77763) = 1
HCF of 922, 77763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 922, 77763 is 1.
Highest Common Factor of 922,77763 is 1
Step 1: Since 77763 > 922, we apply the division lemma to 77763 and 922, to get
77763 = 922 x 84 + 315
Step 2: Since the reminder 922 ≠ 0, we apply division lemma to 315 and 922, to get
922 = 315 x 2 + 292
Step 3: We consider the new divisor 315 and the new remainder 292, and apply the division lemma to get
315 = 292 x 1 + 23
We consider the new divisor 292 and the new remainder 23,and apply the division lemma to get
292 = 23 x 12 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 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 922 and 77763 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(292,23) = HCF(315,292) = HCF(922,315) = HCF(77763,922) .
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Frequently Asked Questions on HCF of 922, 77763 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 922, 77763?
Answer: HCF of 922, 77763 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 922, 77763 using Euclid's Algorithm?
Answer: For arbitrary numbers 922, 77763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.