Highest Common Factor of 889, 490, 248 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 889, 490, 248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 889, 490, 248 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 889, 490, 248 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 889, 490, 248 is 1.
HCF(889, 490, 248) = 1
HCF of 889, 490, 248 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 889, 490, 248 is 1.
Highest Common Factor of 889,490,248 is 1
Step 1: Since 889 > 490, we apply the division lemma to 889 and 490, to get
889 = 490 x 1 + 399
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 399 and 490, to get
490 = 399 x 1 + 91
Step 3: We consider the new divisor 399 and the new remainder 91, and apply the division lemma to get
399 = 91 x 4 + 35
We consider the new divisor 91 and the new remainder 35,and apply the division lemma to get
91 = 35 x 2 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 889 and 490 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(91,35) = HCF(399,91) = HCF(490,399) = HCF(889,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 248 > 7, we apply the division lemma to 248 and 7, to get
248 = 7 x 35 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: 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 7 and 248 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(248,7) .
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Frequently Asked Questions on HCF of 889, 490, 248 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 889, 490, 248?
Answer: HCF of 889, 490, 248 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 889, 490, 248 using Euclid's Algorithm?
Answer: For arbitrary numbers 889, 490, 248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.