Highest Common Factor of 902, 2855 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, 2855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 902, 2855 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, 2855 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, 2855 is 1.
HCF(902, 2855) = 1
HCF of 902, 2855 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, 2855 is 1.
Highest Common Factor of 902,2855 is 1
Step 1: Since 2855 > 902, we apply the division lemma to 2855 and 902, to get
2855 = 902 x 3 + 149
Step 2: Since the reminder 902 ≠ 0, we apply division lemma to 149 and 902, to get
902 = 149 x 6 + 8
Step 3: We consider the new divisor 149 and the new remainder 8, and apply the division lemma to get
149 = 8 x 18 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 902 and 2855 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(149,8) = HCF(902,149) = HCF(2855,902) .
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Frequently Asked Questions on HCF of 902, 2855 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, 2855?
Answer: HCF of 902, 2855 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 902, 2855 using Euclid's Algorithm?
Answer: For arbitrary numbers 902, 2855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
