Highest Common Factor of 902, 1864, 1659 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 902, 1864, 1659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 902, 1864, 1659 is 1 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 902, 1864, 1659 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 902, 1864, 1659 is 1.
HCF(902, 1864, 1659) = 1
HCF of 902, 1864, 1659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 902, 1864, 1659 is 1.
Highest Common Factor of 902,1864,1659 is 1
Step 1: Since 1864 > 902, we apply the division lemma to 1864 and 902, to get
1864 = 902 x 2 + 60
Step 2: Since the reminder 902 ≠ 0, we apply division lemma to 60 and 902, to get
902 = 60 x 15 + 2
Step 3: We consider the new divisor 60 and the new remainder 2, and apply the division lemma to get
60 = 2 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 902 and 1864 is 2
Notice that 2 = HCF(60,2) = HCF(902,60) = HCF(1864,902) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1659 > 2, we apply the division lemma to 1659 and 2, to get
1659 = 2 x 829 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 1659 is 1
Notice that 1 = HCF(2,1) = HCF(1659,2) .
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Frequently Asked Questions on HCF of 902, 1864, 1659 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 902, 1864, 1659?
Answer: HCF of 902, 1864, 1659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 902, 1864, 1659 using Euclid's Algorithm?
Answer: For arbitrary numbers 902, 1864, 1659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.