Highest Common Factor of 318, 528 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 318, 528 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 318, 528 is 6 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 318, 528 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 318, 528 is 6.
HCF(318, 528) = 6
HCF of 318, 528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 318, 528 is 6.
Highest Common Factor of 318,528 is 6
Step 1: Since 528 > 318, we apply the division lemma to 528 and 318, to get
528 = 318 x 1 + 210
Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 210 and 318, to get
318 = 210 x 1 + 108
Step 3: We consider the new divisor 210 and the new remainder 108, and apply the division lemma to get
210 = 108 x 1 + 102
We consider the new divisor 108 and the new remainder 102,and apply the division lemma to get
108 = 102 x 1 + 6
We consider the new divisor 102 and the new remainder 6,and apply the division lemma to get
102 = 6 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 318 and 528 is 6
Notice that 6 = HCF(102,6) = HCF(108,102) = HCF(210,108) = HCF(318,210) = HCF(528,318) .
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Frequently Asked Questions on HCF of 318, 528 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 318, 528?
Answer: HCF of 318, 528 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 318, 528 using Euclid's Algorithm?
Answer: For arbitrary numbers 318, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.