Highest Common Factor of 716, 941, 581, 372 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 716, 941, 581, 372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 716, 941, 581, 372 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 716, 941, 581, 372 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 716, 941, 581, 372 is 1.
HCF(716, 941, 581, 372) = 1
HCF of 716, 941, 581, 372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 716, 941, 581, 372 is 1.
Highest Common Factor of 716,941,581,372 is 1
Step 1: Since 941 > 716, we apply the division lemma to 941 and 716, to get
941 = 716 x 1 + 225
Step 2: Since the reminder 716 ≠ 0, we apply division lemma to 225 and 716, to get
716 = 225 x 3 + 41
Step 3: We consider the new divisor 225 and the new remainder 41, and apply the division lemma to get
225 = 41 x 5 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 716 and 941 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(225,41) = HCF(716,225) = HCF(941,716) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 581 > 1, we apply the division lemma to 581 and 1, to get
581 = 1 x 581 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 581 is 1
Notice that 1 = HCF(581,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 372 > 1, we apply the division lemma to 372 and 1, to get
372 = 1 x 372 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 372 is 1
Notice that 1 = HCF(372,1) .
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Frequently Asked Questions on HCF of 716, 941, 581, 372 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 716, 941, 581, 372?
Answer: HCF of 716, 941, 581, 372 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 716, 941, 581, 372 using Euclid's Algorithm?
Answer: For arbitrary numbers 716, 941, 581, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.