Highest Common Factor of 1900, 666 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 1900, 666 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1900, 666 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 1900, 666 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 1900, 666 is 2.
HCF(1900, 666) = 2
HCF of 1900, 666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1900, 666 is 2.
Highest Common Factor of 1900,666 is 2
Step 1: Since 1900 > 666, we apply the division lemma to 1900 and 666, to get
1900 = 666 x 2 + 568
Step 2: Since the reminder 666 ≠ 0, we apply division lemma to 568 and 666, to get
666 = 568 x 1 + 98
Step 3: We consider the new divisor 568 and the new remainder 98, and apply the division lemma to get
568 = 98 x 5 + 78
We consider the new divisor 98 and the new remainder 78,and apply the division lemma to get
98 = 78 x 1 + 20
We consider the new divisor 78 and the new remainder 20,and apply the division lemma to get
78 = 20 x 3 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1900 and 666 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(78,20) = HCF(98,78) = HCF(568,98) = HCF(666,568) = HCF(1900,666) .
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Frequently Asked Questions on HCF of 1900, 666 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 1900, 666?
Answer: HCF of 1900, 666 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1900, 666 using Euclid's Algorithm?
Answer: For arbitrary numbers 1900, 666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.