Highest Common Factor of 988, 147, 915, 38 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 988, 147, 915, 38 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 988, 147, 915, 38 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 988, 147, 915, 38 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 988, 147, 915, 38 is 1.
HCF(988, 147, 915, 38) = 1
HCF of 988, 147, 915, 38 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 988, 147, 915, 38 is 1.
Highest Common Factor of 988,147,915,38 is 1
Step 1: Since 988 > 147, we apply the division lemma to 988 and 147, to get
988 = 147 x 6 + 106
Step 2: Since the reminder 147 ≠ 0, we apply division lemma to 106 and 147, to get
147 = 106 x 1 + 41
Step 3: We consider the new divisor 106 and the new remainder 41, and apply the division lemma to get
106 = 41 x 2 + 24
We consider the new divisor 41 and the new remainder 24,and apply the division lemma to get
41 = 24 x 1 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 988 and 147 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(41,24) = HCF(106,41) = HCF(147,106) = HCF(988,147) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 1, we apply the division lemma to 915 and 1, to get
915 = 1 x 915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 915 is 1
Notice that 1 = HCF(915,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1
Notice that 1 = HCF(38,1) .
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Frequently Asked Questions on HCF of 988, 147, 915, 38 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 988, 147, 915, 38?
Answer: HCF of 988, 147, 915, 38 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 988, 147, 915, 38 using Euclid's Algorithm?
Answer: For arbitrary numbers 988, 147, 915, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.