Highest Common Factor of 914, 18250 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, 18250 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 914, 18250 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, 18250 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, 18250 is 2.
HCF(914, 18250) = 2
HCF of 914, 18250 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, 18250 is 2.
Highest Common Factor of 914,18250 is 2
Step 1: Since 18250 > 914, we apply the division lemma to 18250 and 914, to get
18250 = 914 x 19 + 884
Step 2: Since the reminder 914 ≠ 0, we apply division lemma to 884 and 914, to get
914 = 884 x 1 + 30
Step 3: We consider the new divisor 884 and the new remainder 30, and apply the division lemma to get
884 = 30 x 29 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 914 and 18250 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(884,30) = HCF(914,884) = HCF(18250,914) .
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Frequently Asked Questions on HCF of 914, 18250 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, 18250?
Answer: HCF of 914, 18250 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 914, 18250 using Euclid's Algorithm?
Answer: For arbitrary numbers 914, 18250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
