Highest Common Factor of 508, 53594 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 508, 53594 i.e. 254 the largest integer that leaves a remainder zero for all numbers.
HCF of 508, 53594 is 254 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 508, 53594 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 508, 53594 is 254.
HCF(508, 53594) = 254
HCF of 508, 53594 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 508, 53594 is 254.
Highest Common Factor of 508,53594 is 254
Step 1: Since 53594 > 508, we apply the division lemma to 53594 and 508, to get
53594 = 508 x 105 + 254
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 254 and 508, to get
508 = 254 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 254, the HCF of 508 and 53594 is 254
Notice that 254 = HCF(508,254) = HCF(53594,508) .
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Frequently Asked Questions on HCF of 508, 53594 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 508, 53594?
Answer: HCF of 508, 53594 is 254 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 508, 53594 using Euclid's Algorithm?
Answer: For arbitrary numbers 508, 53594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.