Highest Common Factor of 1150, 8714 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 1150, 8714 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1150, 8714 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 1150, 8714 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 1150, 8714 is 2.
HCF(1150, 8714) = 2
HCF of 1150, 8714 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1150, 8714 is 2.
Highest Common Factor of 1150,8714 is 2
Step 1: Since 8714 > 1150, we apply the division lemma to 8714 and 1150, to get
8714 = 1150 x 7 + 664
Step 2: Since the reminder 1150 ≠ 0, we apply division lemma to 664 and 1150, to get
1150 = 664 x 1 + 486
Step 3: We consider the new divisor 664 and the new remainder 486, and apply the division lemma to get
664 = 486 x 1 + 178
We consider the new divisor 486 and the new remainder 178,and apply the division lemma to get
486 = 178 x 2 + 130
We consider the new divisor 178 and the new remainder 130,and apply the division lemma to get
178 = 130 x 1 + 48
We consider the new divisor 130 and the new remainder 48,and apply the division lemma to get
130 = 48 x 2 + 34
We consider the new divisor 48 and the new remainder 34,and apply the division lemma to get
48 = 34 x 1 + 14
We consider the new divisor 34 and the new remainder 14,and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 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 1150 and 8714 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(48,34) = HCF(130,48) = HCF(178,130) = HCF(486,178) = HCF(664,486) = HCF(1150,664) = HCF(8714,1150) .
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Frequently Asked Questions on HCF of 1150, 8714 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 1150, 8714?
Answer: HCF of 1150, 8714 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1150, 8714 using Euclid's Algorithm?
Answer: For arbitrary numbers 1150, 8714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.