Highest Common Factor of 490, 319, 88 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 490, 319, 88 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 319, 88 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 490, 319, 88 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 490, 319, 88 is 1.
HCF(490, 319, 88) = 1
HCF of 490, 319, 88 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 490, 319, 88 is 1.
Highest Common Factor of 490,319,88 is 1
Step 1: Since 490 > 319, we apply the division lemma to 490 and 319, to get
490 = 319 x 1 + 171
Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 171 and 319, to get
319 = 171 x 1 + 148
Step 3: We consider the new divisor 171 and the new remainder 148, and apply the division lemma to get
171 = 148 x 1 + 23
We consider the new divisor 148 and the new remainder 23,and apply the division lemma to get
148 = 23 x 6 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 490 and 319 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(148,23) = HCF(171,148) = HCF(319,171) = HCF(490,319) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88 > 1, we apply the division lemma to 88 and 1, to get
88 = 1 x 88 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88 is 1
Notice that 1 = HCF(88,1) .
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Frequently Asked Questions on HCF of 490, 319, 88 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 490, 319, 88?
Answer: HCF of 490, 319, 88 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 319, 88 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 319, 88 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.