Highest Common Factor of 105, 59745 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 105, 59745 i.e. 105 the largest integer that leaves a remainder zero for all numbers.
HCF of 105, 59745 is 105 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 105, 59745 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 105, 59745 is 105.
HCF(105, 59745) = 105
HCF of 105, 59745 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 105, 59745 is 105.
Highest Common Factor of 105,59745 is 105
Step 1: Since 59745 > 105, we apply the division lemma to 59745 and 105, to get
59745 = 105 x 569 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 105, the HCF of 105 and 59745 is 105
Notice that 105 = HCF(59745,105) .
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Frequently Asked Questions on HCF of 105, 59745 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 105, 59745?
Answer: HCF of 105, 59745 is 105 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 105, 59745 using Euclid's Algorithm?
Answer: For arbitrary numbers 105, 59745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
