Highest Common Factor of 922, 75168 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, 75168 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 922, 75168 is 2 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, 75168 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, 75168 is 2.
HCF(922, 75168) = 2
HCF of 922, 75168 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, 75168 is 2.
Highest Common Factor of 922,75168 is 2
Step 1: Since 75168 > 922, we apply the division lemma to 75168 and 922, to get
75168 = 922 x 81 + 486
Step 2: Since the reminder 922 ≠ 0, we apply division lemma to 486 and 922, to get
922 = 486 x 1 + 436
Step 3: We consider the new divisor 486 and the new remainder 436, and apply the division lemma to get
486 = 436 x 1 + 50
We consider the new divisor 436 and the new remainder 50,and apply the division lemma to get
436 = 50 x 8 + 36
We consider the new divisor 50 and the new remainder 36,and apply the division lemma to get
50 = 36 x 1 + 14
We consider the new divisor 36 and the new remainder 14,and apply the division lemma to get
36 = 14 x 2 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 922 and 75168 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(36,14) = HCF(50,36) = HCF(436,50) = HCF(486,436) = HCF(922,486) = HCF(75168,922) .
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Frequently Asked Questions on HCF of 922, 75168 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, 75168?
Answer: HCF of 922, 75168 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 922, 75168 using Euclid's Algorithm?
Answer: For arbitrary numbers 922, 75168 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
