Highest Common Factor of 353, 932, 961, 58 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 353, 932, 961, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 353, 932, 961, 58 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 353, 932, 961, 58 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 353, 932, 961, 58 is 1.
HCF(353, 932, 961, 58) = 1
HCF of 353, 932, 961, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 353, 932, 961, 58 is 1.
Highest Common Factor of 353,932,961,58 is 1
Step 1: Since 932 > 353, we apply the division lemma to 932 and 353, to get
932 = 353 x 2 + 226
Step 2: Since the reminder 353 ≠ 0, we apply division lemma to 226 and 353, to get
353 = 226 x 1 + 127
Step 3: We consider the new divisor 226 and the new remainder 127, and apply the division lemma to get
226 = 127 x 1 + 99
We consider the new divisor 127 and the new remainder 99,and apply the division lemma to get
127 = 99 x 1 + 28
We consider the new divisor 99 and the new remainder 28,and apply the division lemma to get
99 = 28 x 3 + 15
We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get
28 = 15 x 1 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 353 and 932 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(99,28) = HCF(127,99) = HCF(226,127) = HCF(353,226) = HCF(932,353) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 961 > 1, we apply the division lemma to 961 and 1, to get
961 = 1 x 961 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 961 is 1
Notice that 1 = HCF(961,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
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Frequently Asked Questions on HCF of 353, 932, 961, 58 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 353, 932, 961, 58?
Answer: HCF of 353, 932, 961, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 353, 932, 961, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 353, 932, 961, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.