Highest Common Factor of 894, 556, 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 894, 556, 196 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 894, 556, 196 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 894, 556, 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 894, 556, 196 is 2.
HCF(894, 556, 196) = 2
HCF of 894, 556, 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 894, 556, 196 is 2.
Highest Common Factor of 894,556,196 is 2
Step 1: Since 894 > 556, we apply the division lemma to 894 and 556, to get
894 = 556 x 1 + 338
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 338 and 556, to get
556 = 338 x 1 + 218
Step 3: We consider the new divisor 338 and the new remainder 218, and apply the division lemma to get
338 = 218 x 1 + 120
We consider the new divisor 218 and the new remainder 120,and apply the division lemma to get
218 = 120 x 1 + 98
We consider the new divisor 120 and the new remainder 98,and apply the division lemma to get
120 = 98 x 1 + 22
We consider the new divisor 98 and the new remainder 22,and apply the division lemma to get
98 = 22 x 4 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 894 and 556 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(98,22) = HCF(120,98) = HCF(218,120) = HCF(338,218) = HCF(556,338) = HCF(894,556) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 196 > 2, we apply the division lemma to 196 and 2, to get
196 = 2 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 196 is 2
Notice that 2 = HCF(196,2) .
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Frequently Asked Questions on HCF of 894, 556, 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 894, 556, 196?
Answer: HCF of 894, 556, 196 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 894, 556, 196 using Euclid's Algorithm?
Answer: For arbitrary numbers 894, 556, 196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.