Highest Common Factor of 1890, 8090 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 1890, 8090 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 1890, 8090 is 10 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 1890, 8090 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 1890, 8090 is 10.
HCF(1890, 8090) = 10
HCF of 1890, 8090 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1890, 8090 is 10.
Highest Common Factor of 1890,8090 is 10
Step 1: Since 8090 > 1890, we apply the division lemma to 8090 and 1890, to get
8090 = 1890 x 4 + 530
Step 2: Since the reminder 1890 ≠ 0, we apply division lemma to 530 and 1890, to get
1890 = 530 x 3 + 300
Step 3: We consider the new divisor 530 and the new remainder 300, and apply the division lemma to get
530 = 300 x 1 + 230
We consider the new divisor 300 and the new remainder 230,and apply the division lemma to get
300 = 230 x 1 + 70
We consider the new divisor 230 and the new remainder 70,and apply the division lemma to get
230 = 70 x 3 + 20
We consider the new divisor 70 and the new remainder 20,and apply the division lemma to get
70 = 20 x 3 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 1890 and 8090 is 10
Notice that 10 = HCF(20,10) = HCF(70,20) = HCF(230,70) = HCF(300,230) = HCF(530,300) = HCF(1890,530) = HCF(8090,1890) .
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Frequently Asked Questions on HCF of 1890, 8090 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 1890, 8090?
Answer: HCF of 1890, 8090 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1890, 8090 using Euclid's Algorithm?
Answer: For arbitrary numbers 1890, 8090 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.