Highest Common Factor of 6100, 8988 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 6100, 8988 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6100, 8988 is 4 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 6100, 8988 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 6100, 8988 is 4.
HCF(6100, 8988) = 4
HCF of 6100, 8988 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6100, 8988 is 4.
Highest Common Factor of 6100,8988 is 4
Step 1: Since 8988 > 6100, we apply the division lemma to 8988 and 6100, to get
8988 = 6100 x 1 + 2888
Step 2: Since the reminder 6100 ≠ 0, we apply division lemma to 2888 and 6100, to get
6100 = 2888 x 2 + 324
Step 3: We consider the new divisor 2888 and the new remainder 324, and apply the division lemma to get
2888 = 324 x 8 + 296
We consider the new divisor 324 and the new remainder 296,and apply the division lemma to get
324 = 296 x 1 + 28
We consider the new divisor 296 and the new remainder 28,and apply the division lemma to get
296 = 28 x 10 + 16
We consider the new divisor 28 and the new remainder 16,and apply the division lemma to get
28 = 16 x 1 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6100 and 8988 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(296,28) = HCF(324,296) = HCF(2888,324) = HCF(6100,2888) = HCF(8988,6100) .
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Frequently Asked Questions on HCF of 6100, 8988 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 6100, 8988?
Answer: HCF of 6100, 8988 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6100, 8988 using Euclid's Algorithm?
Answer: For arbitrary numbers 6100, 8988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.