Highest Common Factor of 648, 96918 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 648, 96918 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 648, 96918 is 6 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 648, 96918 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 648, 96918 is 6.
HCF(648, 96918) = 6
HCF of 648, 96918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 648, 96918 is 6.
Highest Common Factor of 648,96918 is 6
Step 1: Since 96918 > 648, we apply the division lemma to 96918 and 648, to get
96918 = 648 x 149 + 366
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 366 and 648, to get
648 = 366 x 1 + 282
Step 3: We consider the new divisor 366 and the new remainder 282, and apply the division lemma to get
366 = 282 x 1 + 84
We consider the new divisor 282 and the new remainder 84,and apply the division lemma to get
282 = 84 x 3 + 30
We consider the new divisor 84 and the new remainder 30,and apply the division lemma to get
84 = 30 x 2 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 648 and 96918 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(84,30) = HCF(282,84) = HCF(366,282) = HCF(648,366) = HCF(96918,648) .
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Frequently Asked Questions on HCF of 648, 96918 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 648, 96918?
Answer: HCF of 648, 96918 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 648, 96918 using Euclid's Algorithm?
Answer: For arbitrary numbers 648, 96918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.