Highest Common Factor of 1150, 3868 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, 3868 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1150, 3868 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, 3868 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, 3868 is 2.
HCF(1150, 3868) = 2
HCF of 1150, 3868 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, 3868 is 2.
Highest Common Factor of 1150,3868 is 2
Step 1: Since 3868 > 1150, we apply the division lemma to 3868 and 1150, to get
3868 = 1150 x 3 + 418
Step 2: Since the reminder 1150 ≠ 0, we apply division lemma to 418 and 1150, to get
1150 = 418 x 2 + 314
Step 3: We consider the new divisor 418 and the new remainder 314, and apply the division lemma to get
418 = 314 x 1 + 104
We consider the new divisor 314 and the new remainder 104,and apply the division lemma to get
314 = 104 x 3 + 2
We consider the new divisor 104 and the new remainder 2,and apply the division lemma to get
104 = 2 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1150 and 3868 is 2
Notice that 2 = HCF(104,2) = HCF(314,104) = HCF(418,314) = HCF(1150,418) = HCF(3868,1150) .
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Frequently Asked Questions on HCF of 1150, 3868 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, 3868?
Answer: HCF of 1150, 3868 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1150, 3868 using Euclid's Algorithm?
Answer: For arbitrary numbers 1150, 3868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.