Highest Common Factor of 989, 380, 194, 898 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 989, 380, 194, 898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 380, 194, 898 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 989, 380, 194, 898 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 989, 380, 194, 898 is 1.
HCF(989, 380, 194, 898) = 1
HCF of 989, 380, 194, 898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 989, 380, 194, 898 is 1.
Highest Common Factor of 989,380,194,898 is 1
Step 1: Since 989 > 380, we apply the division lemma to 989 and 380, to get
989 = 380 x 2 + 229
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 229 and 380, to get
380 = 229 x 1 + 151
Step 3: We consider the new divisor 229 and the new remainder 151, and apply the division lemma to get
229 = 151 x 1 + 78
We consider the new divisor 151 and the new remainder 78,and apply the division lemma to get
151 = 78 x 1 + 73
We consider the new divisor 78 and the new remainder 73,and apply the division lemma to get
78 = 73 x 1 + 5
We consider the new divisor 73 and the new remainder 5,and apply the division lemma to get
73 = 5 x 14 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 989 and 380 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(73,5) = HCF(78,73) = HCF(151,78) = HCF(229,151) = HCF(380,229) = HCF(989,380) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 194 > 1, we apply the division lemma to 194 and 1, to get
194 = 1 x 194 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 194 is 1
Notice that 1 = HCF(194,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 898 > 1, we apply the division lemma to 898 and 1, to get
898 = 1 x 898 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 898 is 1
Notice that 1 = HCF(898,1) .
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Frequently Asked Questions on HCF of 989, 380, 194, 898 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 989, 380, 194, 898?
Answer: HCF of 989, 380, 194, 898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 380, 194, 898 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 380, 194, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
