Highest Common Factor of 890, 5995 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 890, 5995 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 890, 5995 is 5 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 890, 5995 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 890, 5995 is 5.
HCF(890, 5995) = 5
HCF of 890, 5995 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 890, 5995 is 5.
Highest Common Factor of 890,5995 is 5
Step 1: Since 5995 > 890, we apply the division lemma to 5995 and 890, to get
5995 = 890 x 6 + 655
Step 2: Since the reminder 890 ≠ 0, we apply division lemma to 655 and 890, to get
890 = 655 x 1 + 235
Step 3: We consider the new divisor 655 and the new remainder 235, and apply the division lemma to get
655 = 235 x 2 + 185
We consider the new divisor 235 and the new remainder 185,and apply the division lemma to get
235 = 185 x 1 + 50
We consider the new divisor 185 and the new remainder 50,and apply the division lemma to get
185 = 50 x 3 + 35
We consider the new divisor 50 and the new remainder 35,and apply the division lemma to get
50 = 35 x 1 + 15
We consider the new divisor 35 and the new remainder 15,and apply the division lemma to get
35 = 15 x 2 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 890 and 5995 is 5
Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(50,35) = HCF(185,50) = HCF(235,185) = HCF(655,235) = HCF(890,655) = HCF(5995,890) .
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Frequently Asked Questions on HCF of 890, 5995 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 890, 5995?
Answer: HCF of 890, 5995 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 890, 5995 using Euclid's Algorithm?
Answer: For arbitrary numbers 890, 5995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
