Highest Common Factor of 488, 660 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 488, 660 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 488, 660 is 4 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 488, 660 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 488, 660 is 4.
HCF(488, 660) = 4
HCF of 488, 660 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 488, 660 is 4.
Highest Common Factor of 488,660 is 4
Step 1: Since 660 > 488, we apply the division lemma to 660 and 488, to get
660 = 488 x 1 + 172
Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 172 and 488, to get
488 = 172 x 2 + 144
Step 3: We consider the new divisor 172 and the new remainder 144, and apply the division lemma to get
172 = 144 x 1 + 28
We consider the new divisor 144 and the new remainder 28,and apply the division lemma to get
144 = 28 x 5 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 488 and 660 is 4
Notice that 4 = HCF(28,4) = HCF(144,28) = HCF(172,144) = HCF(488,172) = HCF(660,488) .
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Frequently Asked Questions on HCF of 488, 660 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 488, 660?
Answer: HCF of 488, 660 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 488, 660 using Euclid's Algorithm?
Answer: For arbitrary numbers 488, 660 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.