Highest Common Factor of 959, 420, 812 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 959, 420, 812 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 420, 812 is 7 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 959, 420, 812 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 959, 420, 812 is 7.
HCF(959, 420, 812) = 7
HCF of 959, 420, 812 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 420, 812 is 7.
Highest Common Factor of 959,420,812 is 7
Step 1: Since 959 > 420, we apply the division lemma to 959 and 420, to get
959 = 420 x 2 + 119
Step 2: Since the reminder 420 ≠ 0, we apply division lemma to 119 and 420, to get
420 = 119 x 3 + 63
Step 3: We consider the new divisor 119 and the new remainder 63, and apply the division lemma to get
119 = 63 x 1 + 56
We consider the new divisor 63 and the new remainder 56,and apply the division lemma to get
63 = 56 x 1 + 7
We consider the new divisor 56 and the new remainder 7,and apply the division lemma to get
56 = 7 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 959 and 420 is 7
Notice that 7 = HCF(56,7) = HCF(63,56) = HCF(119,63) = HCF(420,119) = HCF(959,420) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 812 > 7, we apply the division lemma to 812 and 7, to get
812 = 7 x 116 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 812 is 7
Notice that 7 = HCF(812,7) .
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Frequently Asked Questions on HCF of 959, 420, 812 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 959, 420, 812?
Answer: HCF of 959, 420, 812 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 420, 812 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 420, 812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
