Highest Common Factor of 891, 556, 898 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 891, 556, 898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 556, 898 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 891, 556, 898 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 891, 556, 898 is 1.
HCF(891, 556, 898) = 1
HCF of 891, 556, 898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 556, 898 is 1.
Highest Common Factor of 891,556,898 is 1
Step 1: Since 891 > 556, we apply the division lemma to 891 and 556, to get
891 = 556 x 1 + 335
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 335 and 556, to get
556 = 335 x 1 + 221
Step 3: We consider the new divisor 335 and the new remainder 221, and apply the division lemma to get
335 = 221 x 1 + 114
We consider the new divisor 221 and the new remainder 114,and apply the division lemma to get
221 = 114 x 1 + 107
We consider the new divisor 114 and the new remainder 107,and apply the division lemma to get
114 = 107 x 1 + 7
We consider the new divisor 107 and the new remainder 7,and apply the division lemma to get
107 = 7 x 15 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 891 and 556 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(107,7) = HCF(114,107) = HCF(221,114) = HCF(335,221) = HCF(556,335) = HCF(891,556) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 898 > 1, we apply the division lemma to 898 and 1, to get
898 = 1 x 898 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 898 is 1
Notice that 1 = HCF(898,1) .
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Frequently Asked Questions on HCF of 891, 556, 898 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 891, 556, 898?
Answer: HCF of 891, 556, 898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 556, 898 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 556, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
