Highest Common Factor of 196, 7063, 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 196, 7063, 2194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 196, 7063, 2194 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 196, 7063, 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 196, 7063, 2194 is 1.
HCF(196, 7063, 2194) = 1
HCF of 196, 7063, 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 196, 7063, 2194 is 1.
Highest Common Factor of 196,7063,2194 is 1
Step 1: Since 7063 > 196, we apply the division lemma to 7063 and 196, to get
7063 = 196 x 36 + 7
Step 2: Since the reminder 196 ≠ 0, we apply division lemma to 7 and 196, to get
196 = 7 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 196 and 7063 is 7
Notice that 7 = HCF(196,7) = HCF(7063,196) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2194 > 7, we apply the division lemma to 2194 and 7, to get
2194 = 7 x 313 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 2194 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(2194,7) .
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Frequently Asked Questions on HCF of 196, 7063, 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 196, 7063, 2194?
Answer: HCF of 196, 7063, 2194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 196, 7063, 2194 using Euclid's Algorithm?
Answer: For arbitrary numbers 196, 7063, 2194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.