Highest Common Factor of 1830, 6116 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 1830, 6116 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1830, 6116 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 1830, 6116 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 1830, 6116 is 2.
HCF(1830, 6116) = 2
HCF of 1830, 6116 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1830, 6116 is 2.
Highest Common Factor of 1830,6116 is 2
Step 1: Since 6116 > 1830, we apply the division lemma to 6116 and 1830, to get
6116 = 1830 x 3 + 626
Step 2: Since the reminder 1830 ≠ 0, we apply division lemma to 626 and 1830, to get
1830 = 626 x 2 + 578
Step 3: We consider the new divisor 626 and the new remainder 578, and apply the division lemma to get
626 = 578 x 1 + 48
We consider the new divisor 578 and the new remainder 48,and apply the division lemma to get
578 = 48 x 12 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1830 and 6116 is 2
Notice that 2 = HCF(48,2) = HCF(578,48) = HCF(626,578) = HCF(1830,626) = HCF(6116,1830) .
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Frequently Asked Questions on HCF of 1830, 6116 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 1830, 6116?
Answer: HCF of 1830, 6116 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1830, 6116 using Euclid's Algorithm?
Answer: For arbitrary numbers 1830, 6116 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.