Highest Common Factor of 915, 516, 968, 774 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 915, 516, 968, 774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 915, 516, 968, 774 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 915, 516, 968, 774 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 915, 516, 968, 774 is 1.
HCF(915, 516, 968, 774) = 1
HCF of 915, 516, 968, 774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 915, 516, 968, 774 is 1.
Highest Common Factor of 915,516,968,774 is 1
Step 1: Since 915 > 516, we apply the division lemma to 915 and 516, to get
915 = 516 x 1 + 399
Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 399 and 516, to get
516 = 399 x 1 + 117
Step 3: We consider the new divisor 399 and the new remainder 117, and apply the division lemma to get
399 = 117 x 3 + 48
We consider the new divisor 117 and the new remainder 48,and apply the division lemma to get
117 = 48 x 2 + 21
We consider the new divisor 48 and the new remainder 21,and apply the division lemma to get
48 = 21 x 2 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 915 and 516 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(48,21) = HCF(117,48) = HCF(399,117) = HCF(516,399) = HCF(915,516) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 968 > 3, we apply the division lemma to 968 and 3, to get
968 = 3 x 322 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 968 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(968,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 774 > 1, we apply the division lemma to 774 and 1, to get
774 = 1 x 774 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 774 is 1
Notice that 1 = HCF(774,1) .
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Frequently Asked Questions on HCF of 915, 516, 968, 774 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 915, 516, 968, 774?
Answer: HCF of 915, 516, 968, 774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 915, 516, 968, 774 using Euclid's Algorithm?
Answer: For arbitrary numbers 915, 516, 968, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.