Highest Common Factor of 948, 585 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 948, 585 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 948, 585 is 3 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 948, 585 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 948, 585 is 3.
HCF(948, 585) = 3
HCF of 948, 585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 948, 585 is 3.
Highest Common Factor of 948,585 is 3
Step 1: Since 948 > 585, we apply the division lemma to 948 and 585, to get
948 = 585 x 1 + 363
Step 2: Since the reminder 585 ≠ 0, we apply division lemma to 363 and 585, to get
585 = 363 x 1 + 222
Step 3: We consider the new divisor 363 and the new remainder 222, and apply the division lemma to get
363 = 222 x 1 + 141
We consider the new divisor 222 and the new remainder 141,and apply the division lemma to get
222 = 141 x 1 + 81
We consider the new divisor 141 and the new remainder 81,and apply the division lemma to get
141 = 81 x 1 + 60
We consider the new divisor 81 and the new remainder 60,and apply the division lemma to get
81 = 60 x 1 + 21
We consider the new divisor 60 and the new remainder 21,and apply the division lemma to get
60 = 21 x 2 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 948 and 585 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(60,21) = HCF(81,60) = HCF(141,81) = HCF(222,141) = HCF(363,222) = HCF(585,363) = HCF(948,585) .
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Frequently Asked Questions on HCF of 948, 585 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 948, 585?
Answer: HCF of 948, 585 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 948, 585 using Euclid's Algorithm?
Answer: For arbitrary numbers 948, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.