Highest Common Factor of 210, 8890 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 210, 8890 i.e. 70 the largest integer that leaves a remainder zero for all numbers.
HCF of 210, 8890 is 70 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 210, 8890 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 210, 8890 is 70.
HCF(210, 8890) = 70
HCF of 210, 8890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 210, 8890 is 70.
Highest Common Factor of 210,8890 is 70
Step 1: Since 8890 > 210, we apply the division lemma to 8890 and 210, to get
8890 = 210 x 42 + 70
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 70 and 210, to get
210 = 70 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 210 and 8890 is 70
Notice that 70 = HCF(210,70) = HCF(8890,210) .
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Frequently Asked Questions on HCF of 210, 8890 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 210, 8890?
Answer: HCF of 210, 8890 is 70 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 210, 8890 using Euclid's Algorithm?
Answer: For arbitrary numbers 210, 8890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.