Highest Common Factor of 894, 640, 79 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 894, 640, 79 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 894, 640, 79 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 894, 640, 79 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 894, 640, 79 is 1.
HCF(894, 640, 79) = 1
HCF of 894, 640, 79 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 894, 640, 79 is 1.
Highest Common Factor of 894,640,79 is 1
Step 1: Since 894 > 640, we apply the division lemma to 894 and 640, to get
894 = 640 x 1 + 254
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 254 and 640, to get
640 = 254 x 2 + 132
Step 3: We consider the new divisor 254 and the new remainder 132, and apply the division lemma to get
254 = 132 x 1 + 122
We consider the new divisor 132 and the new remainder 122,and apply the division lemma to get
132 = 122 x 1 + 10
We consider the new divisor 122 and the new remainder 10,and apply the division lemma to get
122 = 10 x 12 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 894 and 640 is 2
Notice that 2 = HCF(10,2) = HCF(122,10) = HCF(132,122) = HCF(254,132) = HCF(640,254) = HCF(894,640) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 79 > 2, we apply the division lemma to 79 and 2, to get
79 = 2 x 39 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 79 is 1
Notice that 1 = HCF(2,1) = HCF(79,2) .
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Frequently Asked Questions on HCF of 894, 640, 79 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 894, 640, 79?
Answer: HCF of 894, 640, 79 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 894, 640, 79 using Euclid's Algorithm?
Answer: For arbitrary numbers 894, 640, 79 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.