Highest Common Factor of 916, 325 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 916, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 916, 325 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 916, 325 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 916, 325 is 1.
HCF(916, 325) = 1
HCF of 916, 325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 916, 325 is 1.
Highest Common Factor of 916,325 is 1
Step 1: Since 916 > 325, we apply the division lemma to 916 and 325, to get
916 = 325 x 2 + 266
Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 266 and 325, to get
325 = 266 x 1 + 59
Step 3: We consider the new divisor 266 and the new remainder 59, and apply the division lemma to get
266 = 59 x 4 + 30
We consider the new divisor 59 and the new remainder 30,and apply the division lemma to get
59 = 30 x 1 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 916 and 325 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(59,30) = HCF(266,59) = HCF(325,266) = HCF(916,325) .
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Frequently Asked Questions on HCF of 916, 325 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 916, 325?
Answer: HCF of 916, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 916, 325 using Euclid's Algorithm?
Answer: For arbitrary numbers 916, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.