Highest Common Factor of 351, 648 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 351, 648 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 648 is 27 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 351, 648 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 351, 648 is 27.
HCF(351, 648) = 27
HCF of 351, 648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 351, 648 is 27.
Highest Common Factor of 351,648 is 27
Step 1: Since 648 > 351, we apply the division lemma to 648 and 351, to get
648 = 351 x 1 + 297
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 297 and 351, to get
351 = 297 x 1 + 54
Step 3: We consider the new divisor 297 and the new remainder 54, and apply the division lemma to get
297 = 54 x 5 + 27
We consider the new divisor 54 and the new remainder 27, and apply the division lemma to get
54 = 27 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 351 and 648 is 27
Notice that 27 = HCF(54,27) = HCF(297,54) = HCF(351,297) = HCF(648,351) .
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Frequently Asked Questions on HCF of 351, 648 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 351, 648?
Answer: HCF of 351, 648 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 648 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.