Highest Common Factor of 108, 846 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 108, 846 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 108, 846 is 18 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 108, 846 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 108, 846 is 18.
HCF(108, 846) = 18
HCF of 108, 846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 108, 846 is 18.
Highest Common Factor of 108,846 is 18
Step 1: Since 846 > 108, we apply the division lemma to 846 and 108, to get
846 = 108 x 7 + 90
Step 2: Since the reminder 108 ≠ 0, we apply division lemma to 90 and 108, to get
108 = 90 x 1 + 18
Step 3: We consider the new divisor 90 and the new remainder 18, and apply the division lemma to get
90 = 18 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 108 and 846 is 18
Notice that 18 = HCF(90,18) = HCF(108,90) = HCF(846,108) .
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Frequently Asked Questions on HCF of 108, 846 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 108, 846?
Answer: HCF of 108, 846 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 108, 846 using Euclid's Algorithm?
Answer: For arbitrary numbers 108, 846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.