Highest Common Factor of 889, 7250, 4091 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, 7250, 4091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 889, 7250, 4091 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, 7250, 4091 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, 7250, 4091 is 1.
HCF(889, 7250, 4091) = 1
HCF of 889, 7250, 4091 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, 7250, 4091 is 1.
Highest Common Factor of 889,7250,4091 is 1
Step 1: Since 7250 > 889, we apply the division lemma to 7250 and 889, to get
7250 = 889 x 8 + 138
Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 138 and 889, to get
889 = 138 x 6 + 61
Step 3: We consider the new divisor 138 and the new remainder 61, and apply the division lemma to get
138 = 61 x 2 + 16
We consider the new divisor 61 and the new remainder 16,and apply the division lemma to get
61 = 16 x 3 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 889 and 7250 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(61,16) = HCF(138,61) = HCF(889,138) = HCF(7250,889) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4091 > 1, we apply the division lemma to 4091 and 1, to get
4091 = 1 x 4091 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4091 is 1
Notice that 1 = HCF(4091,1) .
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Frequently Asked Questions on HCF of 889, 7250, 4091 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, 7250, 4091?
Answer: HCF of 889, 7250, 4091 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 889, 7250, 4091 using Euclid's Algorithm?
Answer: For arbitrary numbers 889, 7250, 4091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
