Highest Common Factor of 798, 2194 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 798, 2194 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 798, 2194 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 798, 2194 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 798, 2194 is 2.
HCF(798, 2194) = 2
HCF of 798, 2194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 798, 2194 is 2.
Highest Common Factor of 798,2194 is 2
Step 1: Since 2194 > 798, we apply the division lemma to 2194 and 798, to get
2194 = 798 x 2 + 598
Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 598 and 798, to get
798 = 598 x 1 + 200
Step 3: We consider the new divisor 598 and the new remainder 200, and apply the division lemma to get
598 = 200 x 2 + 198
We consider the new divisor 200 and the new remainder 198,and apply the division lemma to get
200 = 198 x 1 + 2
We consider the new divisor 198 and the new remainder 2,and apply the division lemma to get
198 = 2 x 99 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 798 and 2194 is 2
Notice that 2 = HCF(198,2) = HCF(200,198) = HCF(598,200) = HCF(798,598) = HCF(2194,798) .
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Frequently Asked Questions on HCF of 798, 2194 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 798, 2194?
Answer: HCF of 798, 2194 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 798, 2194 using Euclid's Algorithm?
Answer: For arbitrary numbers 798, 2194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.