Highest Common Factor of 492, 744, 255 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 492, 744, 255 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 492, 744, 255 is 3 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 492, 744, 255 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 492, 744, 255 is 3.
HCF(492, 744, 255) = 3
HCF of 492, 744, 255 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 492, 744, 255 is 3.
Highest Common Factor of 492,744,255 is 3
Step 1: Since 744 > 492, we apply the division lemma to 744 and 492, to get
744 = 492 x 1 + 252
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 252 and 492, to get
492 = 252 x 1 + 240
Step 3: We consider the new divisor 252 and the new remainder 240, and apply the division lemma to get
252 = 240 x 1 + 12
We consider the new divisor 240 and the new remainder 12, and apply the division lemma to get
240 = 12 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 492 and 744 is 12
Notice that 12 = HCF(240,12) = HCF(252,240) = HCF(492,252) = HCF(744,492) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 255 > 12, we apply the division lemma to 255 and 12, to get
255 = 12 x 21 + 3
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 3 and 12, to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 12 and 255 is 3
Notice that 3 = HCF(12,3) = HCF(255,12) .
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Frequently Asked Questions on HCF of 492, 744, 255 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 492, 744, 255?
Answer: HCF of 492, 744, 255 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 492, 744, 255 using Euclid's Algorithm?
Answer: For arbitrary numbers 492, 744, 255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.