Highest Common Factor of 914, 91010 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 914, 91010 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 914, 91010 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 914, 91010 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 914, 91010 is 2.
HCF(914, 91010) = 2
HCF of 914, 91010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 914, 91010 is 2.
Highest Common Factor of 914,91010 is 2
Step 1: Since 91010 > 914, we apply the division lemma to 91010 and 914, to get
91010 = 914 x 99 + 524
Step 2: Since the reminder 914 ≠ 0, we apply division lemma to 524 and 914, to get
914 = 524 x 1 + 390
Step 3: We consider the new divisor 524 and the new remainder 390, and apply the division lemma to get
524 = 390 x 1 + 134
We consider the new divisor 390 and the new remainder 134,and apply the division lemma to get
390 = 134 x 2 + 122
We consider the new divisor 134 and the new remainder 122,and apply the division lemma to get
134 = 122 x 1 + 12
We consider the new divisor 122 and the new remainder 12,and apply the division lemma to get
122 = 12 x 10 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 914 and 91010 is 2
Notice that 2 = HCF(12,2) = HCF(122,12) = HCF(134,122) = HCF(390,134) = HCF(524,390) = HCF(914,524) = HCF(91010,914) .
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Frequently Asked Questions on HCF of 914, 91010 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 914, 91010?
Answer: HCF of 914, 91010 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 914, 91010 using Euclid's Algorithm?
Answer: For arbitrary numbers 914, 91010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.