Highest Common Factor of 942, 580 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 942, 580 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 580 is 2 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 942, 580 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 942, 580 is 2.
HCF(942, 580) = 2
HCF of 942, 580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 942, 580 is 2.
Highest Common Factor of 942,580 is 2
Step 1: Since 942 > 580, we apply the division lemma to 942 and 580, to get
942 = 580 x 1 + 362
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 362 and 580, to get
580 = 362 x 1 + 218
Step 3: We consider the new divisor 362 and the new remainder 218, and apply the division lemma to get
362 = 218 x 1 + 144
We consider the new divisor 218 and the new remainder 144,and apply the division lemma to get
218 = 144 x 1 + 74
We consider the new divisor 144 and the new remainder 74,and apply the division lemma to get
144 = 74 x 1 + 70
We consider the new divisor 74 and the new remainder 70,and apply the division lemma to get
74 = 70 x 1 + 4
We consider the new divisor 70 and the new remainder 4,and apply the division lemma to get
70 = 4 x 17 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 942 and 580 is 2
Notice that 2 = HCF(4,2) = HCF(70,4) = HCF(74,70) = HCF(144,74) = HCF(218,144) = HCF(362,218) = HCF(580,362) = HCF(942,580) .
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Frequently Asked Questions on HCF of 942, 580 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 942, 580?
Answer: HCF of 942, 580 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 580 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.