Highest Common Factor of 902, 711 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, 711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 902, 711 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, 711 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, 711 is 1.
HCF(902, 711) = 1
HCF of 902, 711 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, 711 is 1.
Highest Common Factor of 902,711 is 1
Step 1: Since 902 > 711, we apply the division lemma to 902 and 711, to get
902 = 711 x 1 + 191
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 191 and 711, to get
711 = 191 x 3 + 138
Step 3: We consider the new divisor 191 and the new remainder 138, and apply the division lemma to get
191 = 138 x 1 + 53
We consider the new divisor 138 and the new remainder 53,and apply the division lemma to get
138 = 53 x 2 + 32
We consider the new divisor 53 and the new remainder 32,and apply the division lemma to get
53 = 32 x 1 + 21
We consider the new divisor 32 and the new remainder 21,and apply the division lemma to get
32 = 21 x 1 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 902 and 711 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(32,21) = HCF(53,32) = HCF(138,53) = HCF(191,138) = HCF(711,191) = HCF(902,711) .
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Frequently Asked Questions on HCF of 902, 711 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, 711?
Answer: HCF of 902, 711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 902, 711 using Euclid's Algorithm?
Answer: For arbitrary numbers 902, 711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
