Highest Common Factor of 1130, 4002 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 1130, 4002 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1130, 4002 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 1130, 4002 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 1130, 4002 is 2.
HCF(1130, 4002) = 2
HCF of 1130, 4002 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1130, 4002 is 2.
Highest Common Factor of 1130,4002 is 2
Step 1: Since 4002 > 1130, we apply the division lemma to 4002 and 1130, to get
4002 = 1130 x 3 + 612
Step 2: Since the reminder 1130 ≠ 0, we apply division lemma to 612 and 1130, to get
1130 = 612 x 1 + 518
Step 3: We consider the new divisor 612 and the new remainder 518, and apply the division lemma to get
612 = 518 x 1 + 94
We consider the new divisor 518 and the new remainder 94,and apply the division lemma to get
518 = 94 x 5 + 48
We consider the new divisor 94 and the new remainder 48,and apply the division lemma to get
94 = 48 x 1 + 46
We consider the new divisor 48 and the new remainder 46,and apply the division lemma to get
48 = 46 x 1 + 2
We consider the new divisor 46 and the new remainder 2,and apply the division lemma to get
46 = 2 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1130 and 4002 is 2
Notice that 2 = HCF(46,2) = HCF(48,46) = HCF(94,48) = HCF(518,94) = HCF(612,518) = HCF(1130,612) = HCF(4002,1130) .
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Frequently Asked Questions on HCF of 1130, 4002 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 1130, 4002?
Answer: HCF of 1130, 4002 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1130, 4002 using Euclid's Algorithm?
Answer: For arbitrary numbers 1130, 4002 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.