Highest Common Factor of 254, 897, 990 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 254, 897, 990 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 254, 897, 990 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 254, 897, 990 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 254, 897, 990 is 1.
HCF(254, 897, 990) = 1
HCF of 254, 897, 990 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 254, 897, 990 is 1.
Highest Common Factor of 254,897,990 is 1
Step 1: Since 897 > 254, we apply the division lemma to 897 and 254, to get
897 = 254 x 3 + 135
Step 2: Since the reminder 254 ≠ 0, we apply division lemma to 135 and 254, to get
254 = 135 x 1 + 119
Step 3: We consider the new divisor 135 and the new remainder 119, and apply the division lemma to get
135 = 119 x 1 + 16
We consider the new divisor 119 and the new remainder 16,and apply the division lemma to get
119 = 16 x 7 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 254 and 897 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(119,16) = HCF(135,119) = HCF(254,135) = HCF(897,254) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 990 > 1, we apply the division lemma to 990 and 1, to get
990 = 1 x 990 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 990 is 1
Notice that 1 = HCF(990,1) .
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Frequently Asked Questions on HCF of 254, 897, 990 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 254, 897, 990?
Answer: HCF of 254, 897, 990 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 254, 897, 990 using Euclid's Algorithm?
Answer: For arbitrary numbers 254, 897, 990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.