Highest Common Factor of 2022, 7196 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 2022, 7196 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2022, 7196 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 2022, 7196 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 2022, 7196 is 2.
HCF(2022, 7196) = 2
HCF of 2022, 7196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2022, 7196 is 2.
Highest Common Factor of 2022,7196 is 2
Step 1: Since 7196 > 2022, we apply the division lemma to 7196 and 2022, to get
7196 = 2022 x 3 + 1130
Step 2: Since the reminder 2022 ≠ 0, we apply division lemma to 1130 and 2022, to get
2022 = 1130 x 1 + 892
Step 3: We consider the new divisor 1130 and the new remainder 892, and apply the division lemma to get
1130 = 892 x 1 + 238
We consider the new divisor 892 and the new remainder 238,and apply the division lemma to get
892 = 238 x 3 + 178
We consider the new divisor 238 and the new remainder 178,and apply the division lemma to get
238 = 178 x 1 + 60
We consider the new divisor 178 and the new remainder 60,and apply the division lemma to get
178 = 60 x 2 + 58
We consider the new divisor 60 and the new remainder 58,and apply the division lemma to get
60 = 58 x 1 + 2
We consider the new divisor 58 and the new remainder 2,and apply the division lemma to get
58 = 2 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2022 and 7196 is 2
Notice that 2 = HCF(58,2) = HCF(60,58) = HCF(178,60) = HCF(238,178) = HCF(892,238) = HCF(1130,892) = HCF(2022,1130) = HCF(7196,2022) .
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Frequently Asked Questions on HCF of 2022, 7196 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 2022, 7196?
Answer: HCF of 2022, 7196 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2022, 7196 using Euclid's Algorithm?
Answer: For arbitrary numbers 2022, 7196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
