Highest Common Factor of 988, 1187, 6201 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, 1187, 6201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 988, 1187, 6201 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, 1187, 6201 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, 1187, 6201 is 1.
HCF(988, 1187, 6201) = 1
HCF of 988, 1187, 6201 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, 1187, 6201 is 1.
Highest Common Factor of 988,1187,6201 is 1
Step 1: Since 1187 > 988, we apply the division lemma to 1187 and 988, to get
1187 = 988 x 1 + 199
Step 2: Since the reminder 988 ≠ 0, we apply division lemma to 199 and 988, to get
988 = 199 x 4 + 192
Step 3: We consider the new divisor 199 and the new remainder 192, and apply the division lemma to get
199 = 192 x 1 + 7
We consider the new divisor 192 and the new remainder 7,and apply the division lemma to get
192 = 7 x 27 + 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 1187 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(192,7) = HCF(199,192) = HCF(988,199) = HCF(1187,988) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6201 > 1, we apply the division lemma to 6201 and 1, to get
6201 = 1 x 6201 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6201 is 1
Notice that 1 = HCF(6201,1) .
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Frequently Asked Questions on HCF of 988, 1187, 6201 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, 1187, 6201?
Answer: HCF of 988, 1187, 6201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 988, 1187, 6201 using Euclid's Algorithm?
Answer: For arbitrary numbers 988, 1187, 6201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.