Highest Common Factor of 942, 667 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, 667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 667 is 1 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, 667 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, 667 is 1.
HCF(942, 667) = 1
HCF of 942, 667 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, 667 is 1.
Highest Common Factor of 942,667 is 1
Step 1: Since 942 > 667, we apply the division lemma to 942 and 667, to get
942 = 667 x 1 + 275
Step 2: Since the reminder 667 ≠ 0, we apply division lemma to 275 and 667, to get
667 = 275 x 2 + 117
Step 3: We consider the new divisor 275 and the new remainder 117, and apply the division lemma to get
275 = 117 x 2 + 41
We consider the new divisor 117 and the new remainder 41,and apply the division lemma to get
117 = 41 x 2 + 35
We consider the new divisor 41 and the new remainder 35,and apply the division lemma to get
41 = 35 x 1 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 942 and 667 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(41,35) = HCF(117,41) = HCF(275,117) = HCF(667,275) = HCF(942,667) .
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Frequently Asked Questions on HCF of 942, 667 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, 667?
Answer: HCF of 942, 667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 667 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.