Highest Common Factor of 729, 378 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 729, 378 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 729, 378 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 729, 378 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 729, 378 is 27.
HCF(729, 378) = 27
HCF of 729, 378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 729, 378 is 27.
Highest Common Factor of 729,378 is 27
Step 1: Since 729 > 378, we apply the division lemma to 729 and 378, to get
729 = 378 x 1 + 351
Step 2: Since the reminder 378 ≠ 0, we apply division lemma to 351 and 378, to get
378 = 351 x 1 + 27
Step 3: We consider the new divisor 351 and the new remainder 27, and apply the division lemma to get
351 = 27 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 729 and 378 is 27
Notice that 27 = HCF(351,27) = HCF(378,351) = HCF(729,378) .
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Frequently Asked Questions on HCF of 729, 378 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 729, 378?
Answer: HCF of 729, 378 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 729, 378 using Euclid's Algorithm?
Answer: For arbitrary numbers 729, 378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.