Highest Common Factor of 868, 561, 196 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 868, 561, 196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 561, 196 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 868, 561, 196 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 868, 561, 196 is 1.
HCF(868, 561, 196) = 1
HCF of 868, 561, 196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 561, 196 is 1.
Highest Common Factor of 868,561,196 is 1
Step 1: Since 868 > 561, we apply the division lemma to 868 and 561, to get
868 = 561 x 1 + 307
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 307 and 561, to get
561 = 307 x 1 + 254
Step 3: We consider the new divisor 307 and the new remainder 254, and apply the division lemma to get
307 = 254 x 1 + 53
We consider the new divisor 254 and the new remainder 53,and apply the division lemma to get
254 = 53 x 4 + 42
We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get
53 = 42 x 1 + 11
We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get
42 = 11 x 3 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 868 and 561 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(254,53) = HCF(307,254) = HCF(561,307) = HCF(868,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 196 > 1, we apply the division lemma to 196 and 1, to get
196 = 1 x 196 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 196 is 1
Notice that 1 = HCF(196,1) .
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Frequently Asked Questions on HCF of 868, 561, 196 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 868, 561, 196?
Answer: HCF of 868, 561, 196 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 561, 196 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 561, 196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.