Highest Common Factor of 5940, 3176 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 5940, 3176 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5940, 3176 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 5940, 3176 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 5940, 3176 is 4.
HCF(5940, 3176) = 4
HCF of 5940, 3176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5940, 3176 is 4.
Highest Common Factor of 5940,3176 is 4
Step 1: Since 5940 > 3176, we apply the division lemma to 5940 and 3176, to get
5940 = 3176 x 1 + 2764
Step 2: Since the reminder 3176 ≠ 0, we apply division lemma to 2764 and 3176, to get
3176 = 2764 x 1 + 412
Step 3: We consider the new divisor 2764 and the new remainder 412, and apply the division lemma to get
2764 = 412 x 6 + 292
We consider the new divisor 412 and the new remainder 292,and apply the division lemma to get
412 = 292 x 1 + 120
We consider the new divisor 292 and the new remainder 120,and apply the division lemma to get
292 = 120 x 2 + 52
We consider the new divisor 120 and the new remainder 52,and apply the division lemma to get
120 = 52 x 2 + 16
We consider the new divisor 52 and the new remainder 16,and apply the division lemma to get
52 = 16 x 3 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5940 and 3176 is 4
Notice that 4 = HCF(16,4) = HCF(52,16) = HCF(120,52) = HCF(292,120) = HCF(412,292) = HCF(2764,412) = HCF(3176,2764) = HCF(5940,3176) .
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Frequently Asked Questions on HCF of 5940, 3176 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 5940, 3176?
Answer: HCF of 5940, 3176 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5940, 3176 using Euclid's Algorithm?
Answer: For arbitrary numbers 5940, 3176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.