Highest Common Factor of 926, 341, 188, 998 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 926, 341, 188, 998 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 926, 341, 188, 998 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 926, 341, 188, 998 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 926, 341, 188, 998 is 1.
HCF(926, 341, 188, 998) = 1
HCF of 926, 341, 188, 998 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 926, 341, 188, 998 is 1.
Highest Common Factor of 926,341,188,998 is 1
Step 1: Since 926 > 341, we apply the division lemma to 926 and 341, to get
926 = 341 x 2 + 244
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 244 and 341, to get
341 = 244 x 1 + 97
Step 3: We consider the new divisor 244 and the new remainder 97, and apply the division lemma to get
244 = 97 x 2 + 50
We consider the new divisor 97 and the new remainder 50,and apply the division lemma to get
97 = 50 x 1 + 47
We consider the new divisor 50 and the new remainder 47,and apply the division lemma to get
50 = 47 x 1 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 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 926 and 341 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(50,47) = HCF(97,50) = HCF(244,97) = HCF(341,244) = HCF(926,341) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 188 > 1, we apply the division lemma to 188 and 1, to get
188 = 1 x 188 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 188 is 1
Notice that 1 = HCF(188,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 998 > 1, we apply the division lemma to 998 and 1, to get
998 = 1 x 998 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 998 is 1
Notice that 1 = HCF(998,1) .
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Frequently Asked Questions on HCF of 926, 341, 188, 998 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 926, 341, 188, 998?
Answer: HCF of 926, 341, 188, 998 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 926, 341, 188, 998 using Euclid's Algorithm?
Answer: For arbitrary numbers 926, 341, 188, 998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.