Highest Common Factor of 742, 472, 849 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 742, 472, 849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 742, 472, 849 is 1 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 742, 472, 849 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 742, 472, 849 is 1.
HCF(742, 472, 849) = 1
HCF of 742, 472, 849 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 742, 472, 849 is 1.
Highest Common Factor of 742,472,849 is 1
Step 1: Since 742 > 472, we apply the division lemma to 742 and 472, to get
742 = 472 x 1 + 270
Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 270 and 472, to get
472 = 270 x 1 + 202
Step 3: We consider the new divisor 270 and the new remainder 202, and apply the division lemma to get
270 = 202 x 1 + 68
We consider the new divisor 202 and the new remainder 68,and apply the division lemma to get
202 = 68 x 2 + 66
We consider the new divisor 68 and the new remainder 66,and apply the division lemma to get
68 = 66 x 1 + 2
We consider the new divisor 66 and the new remainder 2,and apply the division lemma to get
66 = 2 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 742 and 472 is 2
Notice that 2 = HCF(66,2) = HCF(68,66) = HCF(202,68) = HCF(270,202) = HCF(472,270) = HCF(742,472) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 849 > 2, we apply the division lemma to 849 and 2, to get
849 = 2 x 424 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 849 is 1
Notice that 1 = HCF(2,1) = HCF(849,2) .
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Frequently Asked Questions on HCF of 742, 472, 849 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 742, 472, 849?
Answer: HCF of 742, 472, 849 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 742, 472, 849 using Euclid's Algorithm?
Answer: For arbitrary numbers 742, 472, 849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.