Highest Common Factor of 385, 796, 972, 23 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 385, 796, 972, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 385, 796, 972, 23 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 385, 796, 972, 23 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 385, 796, 972, 23 is 1.
HCF(385, 796, 972, 23) = 1
HCF of 385, 796, 972, 23 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 385, 796, 972, 23 is 1.
Highest Common Factor of 385,796,972,23 is 1
Step 1: Since 796 > 385, we apply the division lemma to 796 and 385, to get
796 = 385 x 2 + 26
Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 26 and 385, to get
385 = 26 x 14 + 21
Step 3: We consider the new divisor 26 and the new remainder 21, and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 385 and 796 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(385,26) = HCF(796,385) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 972 > 1, we apply the division lemma to 972 and 1, to get
972 = 1 x 972 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 972 is 1
Notice that 1 = HCF(972,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 1, we apply the division lemma to 23 and 1, to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23 is 1
Notice that 1 = HCF(23,1) .
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Frequently Asked Questions on HCF of 385, 796, 972, 23 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 385, 796, 972, 23?
Answer: HCF of 385, 796, 972, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 385, 796, 972, 23 using Euclid's Algorithm?
Answer: For arbitrary numbers 385, 796, 972, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.