Highest Common Factor of 734, 341, 116, 957 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 734, 341, 116, 957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 734, 341, 116, 957 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 734, 341, 116, 957 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 734, 341, 116, 957 is 1.
HCF(734, 341, 116, 957) = 1
HCF of 734, 341, 116, 957 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 734, 341, 116, 957 is 1.
Highest Common Factor of 734,341,116,957 is 1
Step 1: Since 734 > 341, we apply the division lemma to 734 and 341, to get
734 = 341 x 2 + 52
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 52 and 341, to get
341 = 52 x 6 + 29
Step 3: We consider the new divisor 52 and the new remainder 29, and apply the division lemma to get
52 = 29 x 1 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 734 and 341 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(52,29) = HCF(341,52) = HCF(734,341) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 116 > 1, we apply the division lemma to 116 and 1, to get
116 = 1 x 116 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 116 is 1
Notice that 1 = HCF(116,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 957 > 1, we apply the division lemma to 957 and 1, to get
957 = 1 x 957 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 957 is 1
Notice that 1 = HCF(957,1) .
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Frequently Asked Questions on HCF of 734, 341, 116, 957 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 734, 341, 116, 957?
Answer: HCF of 734, 341, 116, 957 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 734, 341, 116, 957 using Euclid's Algorithm?
Answer: For arbitrary numbers 734, 341, 116, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.