Highest Common Factor of 447, 721, 946, 739 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 447, 721, 946, 739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 721, 946, 739 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 447, 721, 946, 739 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 447, 721, 946, 739 is 1.
HCF(447, 721, 946, 739) = 1
HCF of 447, 721, 946, 739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 447, 721, 946, 739 is 1.
Highest Common Factor of 447,721,946,739 is 1
Step 1: Since 721 > 447, we apply the division lemma to 721 and 447, to get
721 = 447 x 1 + 274
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 274 and 447, to get
447 = 274 x 1 + 173
Step 3: We consider the new divisor 274 and the new remainder 173, and apply the division lemma to get
274 = 173 x 1 + 101
We consider the new divisor 173 and the new remainder 101,and apply the division lemma to get
173 = 101 x 1 + 72
We consider the new divisor 101 and the new remainder 72,and apply the division lemma to get
101 = 72 x 1 + 29
We consider the new divisor 72 and the new remainder 29,and apply the division lemma to get
72 = 29 x 2 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 447 and 721 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(72,29) = HCF(101,72) = HCF(173,101) = HCF(274,173) = HCF(447,274) = HCF(721,447) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 1, we apply the division lemma to 946 and 1, to get
946 = 1 x 946 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 946 is 1
Notice that 1 = HCF(946,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 739 > 1, we apply the division lemma to 739 and 1, to get
739 = 1 x 739 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 739 is 1
Notice that 1 = HCF(739,1) .
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Frequently Asked Questions on HCF of 447, 721, 946, 739 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 447, 721, 946, 739?
Answer: HCF of 447, 721, 946, 739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 721, 946, 739 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 721, 946, 739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.