Highest Common Factor of 744, 279 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 744, 279 i.e. 93 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 279 is 93 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 744, 279 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 744, 279 is 93.
HCF(744, 279) = 93
HCF of 744, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 279 is 93.
Highest Common Factor of 744,279 is 93
Step 1: Since 744 > 279, we apply the division lemma to 744 and 279, to get
744 = 279 x 2 + 186
Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 186 and 279, to get
279 = 186 x 1 + 93
Step 3: We consider the new divisor 186 and the new remainder 93, and apply the division lemma to get
186 = 93 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 93, the HCF of 744 and 279 is 93
Notice that 93 = HCF(186,93) = HCF(279,186) = HCF(744,279) .
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Frequently Asked Questions on HCF of 744, 279 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 744, 279?
Answer: HCF of 744, 279 is 93 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.