Highest Common Factor of 958, 22146 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 958, 22146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 958, 22146 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 958, 22146 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 958, 22146 is 2.
HCF(958, 22146) = 2
HCF of 958, 22146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 958, 22146 is 2.
Highest Common Factor of 958,22146 is 2
Step 1: Since 22146 > 958, we apply the division lemma to 22146 and 958, to get
22146 = 958 x 23 + 112
Step 2: Since the reminder 958 ≠ 0, we apply division lemma to 112 and 958, to get
958 = 112 x 8 + 62
Step 3: We consider the new divisor 112 and the new remainder 62, and apply the division lemma to get
112 = 62 x 1 + 50
We consider the new divisor 62 and the new remainder 50,and apply the division lemma to get
62 = 50 x 1 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 958 and 22146 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(62,50) = HCF(112,62) = HCF(958,112) = HCF(22146,958) .
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Frequently Asked Questions on HCF of 958, 22146 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 958, 22146?
Answer: HCF of 958, 22146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 958, 22146 using Euclid's Algorithm?
Answer: For arbitrary numbers 958, 22146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.