Highest Common Factor of 3088, 4164 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 3088, 4164 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3088, 4164 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 3088, 4164 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 3088, 4164 is 4.
HCF(3088, 4164) = 4
HCF of 3088, 4164 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3088, 4164 is 4.
Highest Common Factor of 3088,4164 is 4
Step 1: Since 4164 > 3088, we apply the division lemma to 4164 and 3088, to get
4164 = 3088 x 1 + 1076
Step 2: Since the reminder 3088 ≠ 0, we apply division lemma to 1076 and 3088, to get
3088 = 1076 x 2 + 936
Step 3: We consider the new divisor 1076 and the new remainder 936, and apply the division lemma to get
1076 = 936 x 1 + 140
We consider the new divisor 936 and the new remainder 140,and apply the division lemma to get
936 = 140 x 6 + 96
We consider the new divisor 140 and the new remainder 96,and apply the division lemma to get
140 = 96 x 1 + 44
We consider the new divisor 96 and the new remainder 44,and apply the division lemma to get
96 = 44 x 2 + 8
We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get
44 = 8 x 5 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3088 and 4164 is 4
Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(96,44) = HCF(140,96) = HCF(936,140) = HCF(1076,936) = HCF(3088,1076) = HCF(4164,3088) .
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Frequently Asked Questions on HCF of 3088, 4164 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 3088, 4164?
Answer: HCF of 3088, 4164 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3088, 4164 using Euclid's Algorithm?
Answer: For arbitrary numbers 3088, 4164 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
