Highest Common Factor of 985, 889 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 985, 889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 889 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 985, 889 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 985, 889 is 1.
HCF(985, 889) = 1
HCF of 985, 889 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 985, 889 is 1.
Highest Common Factor of 985,889 is 1
Step 1: Since 985 > 889, we apply the division lemma to 985 and 889, to get
985 = 889 x 1 + 96
Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 96 and 889, to get
889 = 96 x 9 + 25
Step 3: We consider the new divisor 96 and the new remainder 25, and apply the division lemma to get
96 = 25 x 3 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 985 and 889 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(96,25) = HCF(889,96) = HCF(985,889) .
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Frequently Asked Questions on HCF of 985, 889 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 985, 889?
Answer: HCF of 985, 889 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 889 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.