Highest Common Factor of 800, 63190 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 800, 63190 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 63190 is 10 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 800, 63190 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 800, 63190 is 10.
HCF(800, 63190) = 10
HCF of 800, 63190 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 63190 is 10.
Highest Common Factor of 800,63190 is 10
Step 1: Since 63190 > 800, we apply the division lemma to 63190 and 800, to get
63190 = 800 x 78 + 790
Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 790 and 800, to get
800 = 790 x 1 + 10
Step 3: We consider the new divisor 790 and the new remainder 10, and apply the division lemma to get
790 = 10 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 800 and 63190 is 10
Notice that 10 = HCF(790,10) = HCF(800,790) = HCF(63190,800) .
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Frequently Asked Questions on HCF of 800, 63190 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 800, 63190?
Answer: HCF of 800, 63190 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 63190 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 63190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.