Highest Common Factor of 640, 90158 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 640, 90158 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 640, 90158 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 640, 90158 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 640, 90158 is 2.
HCF(640, 90158) = 2
HCF of 640, 90158 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 640, 90158 is 2.
Highest Common Factor of 640,90158 is 2
Step 1: Since 90158 > 640, we apply the division lemma to 90158 and 640, to get
90158 = 640 x 140 + 558
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 558 and 640, to get
640 = 558 x 1 + 82
Step 3: We consider the new divisor 558 and the new remainder 82, and apply the division lemma to get
558 = 82 x 6 + 66
We consider the new divisor 82 and the new remainder 66,and apply the division lemma to get
82 = 66 x 1 + 16
We consider the new divisor 66 and the new remainder 16,and apply the division lemma to get
66 = 16 x 4 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 640 and 90158 is 2
Notice that 2 = HCF(16,2) = HCF(66,16) = HCF(82,66) = HCF(558,82) = HCF(640,558) = HCF(90158,640) .
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Frequently Asked Questions on HCF of 640, 90158 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 640, 90158?
Answer: HCF of 640, 90158 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 640, 90158 using Euclid's Algorithm?
Answer: For arbitrary numbers 640, 90158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
