Highest Common Factor of 316, 894, 915, 769 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 316, 894, 915, 769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 316, 894, 915, 769 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 316, 894, 915, 769 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 316, 894, 915, 769 is 1.
HCF(316, 894, 915, 769) = 1
HCF of 316, 894, 915, 769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 316, 894, 915, 769 is 1.
Highest Common Factor of 316,894,915,769 is 1
Step 1: Since 894 > 316, we apply the division lemma to 894 and 316, to get
894 = 316 x 2 + 262
Step 2: Since the reminder 316 ≠ 0, we apply division lemma to 262 and 316, to get
316 = 262 x 1 + 54
Step 3: We consider the new divisor 262 and the new remainder 54, and apply the division lemma to get
262 = 54 x 4 + 46
We consider the new divisor 54 and the new remainder 46,and apply the division lemma to get
54 = 46 x 1 + 8
We consider the new divisor 46 and the new remainder 8,and apply the division lemma to get
46 = 8 x 5 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 316 and 894 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(46,8) = HCF(54,46) = HCF(262,54) = HCF(316,262) = HCF(894,316) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 2, we apply the division lemma to 915 and 2, to get
915 = 2 x 457 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 915 is 1
Notice that 1 = HCF(2,1) = HCF(915,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 769 > 1, we apply the division lemma to 769 and 1, to get
769 = 1 x 769 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 769 is 1
Notice that 1 = HCF(769,1) .
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Frequently Asked Questions on HCF of 316, 894, 915, 769 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 316, 894, 915, 769?
Answer: HCF of 316, 894, 915, 769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 316, 894, 915, 769 using Euclid's Algorithm?
Answer: For arbitrary numbers 316, 894, 915, 769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.