Highest Common Factor of 812, 935, 395, 16 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 812, 935, 395, 16 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 812, 935, 395, 16 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 812, 935, 395, 16 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 812, 935, 395, 16 is 1.
HCF(812, 935, 395, 16) = 1
HCF of 812, 935, 395, 16 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 812, 935, 395, 16 is 1.
Highest Common Factor of 812,935,395,16 is 1
Step 1: Since 935 > 812, we apply the division lemma to 935 and 812, to get
935 = 812 x 1 + 123
Step 2: Since the reminder 812 ≠ 0, we apply division lemma to 123 and 812, to get
812 = 123 x 6 + 74
Step 3: We consider the new divisor 123 and the new remainder 74, and apply the division lemma to get
123 = 74 x 1 + 49
We consider the new divisor 74 and the new remainder 49,and apply the division lemma to get
74 = 49 x 1 + 25
We consider the new divisor 49 and the new remainder 25,and apply the division lemma to get
49 = 25 x 1 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 812 and 935 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(49,25) = HCF(74,49) = HCF(123,74) = HCF(812,123) = HCF(935,812) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 395 > 1, we apply the division lemma to 395 and 1, to get
395 = 1 x 395 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 395 is 1
Notice that 1 = HCF(395,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 1, we apply the division lemma to 16 and 1, to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16 is 1
Notice that 1 = HCF(16,1) .
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Frequently Asked Questions on HCF of 812, 935, 395, 16 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 812, 935, 395, 16?
Answer: HCF of 812, 935, 395, 16 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 812, 935, 395, 16 using Euclid's Algorithm?
Answer: For arbitrary numbers 812, 935, 395, 16 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.