Highest Common Factor of 554, 716, 868 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 554, 716, 868 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 554, 716, 868 is 2 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 554, 716, 868 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 554, 716, 868 is 2.
HCF(554, 716, 868) = 2
HCF of 554, 716, 868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 554, 716, 868 is 2.
Highest Common Factor of 554,716,868 is 2
Step 1: Since 716 > 554, we apply the division lemma to 716 and 554, to get
716 = 554 x 1 + 162
Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 162 and 554, to get
554 = 162 x 3 + 68
Step 3: We consider the new divisor 162 and the new remainder 68, and apply the division lemma to get
162 = 68 x 2 + 26
We consider the new divisor 68 and the new remainder 26,and apply the division lemma to get
68 = 26 x 2 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 554 and 716 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(68,26) = HCF(162,68) = HCF(554,162) = HCF(716,554) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 868 > 2, we apply the division lemma to 868 and 2, to get
868 = 2 x 434 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 868 is 2
Notice that 2 = HCF(868,2) .
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Frequently Asked Questions on HCF of 554, 716, 868 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 554, 716, 868?
Answer: HCF of 554, 716, 868 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 554, 716, 868 using Euclid's Algorithm?
Answer: For arbitrary numbers 554, 716, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
