Highest Common Factor of 3940, 2199 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 3940, 2199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3940, 2199 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 3940, 2199 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 3940, 2199 is 1.
HCF(3940, 2199) = 1
HCF of 3940, 2199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3940, 2199 is 1.
Highest Common Factor of 3940,2199 is 1
Step 1: Since 3940 > 2199, we apply the division lemma to 3940 and 2199, to get
3940 = 2199 x 1 + 1741
Step 2: Since the reminder 2199 ≠ 0, we apply division lemma to 1741 and 2199, to get
2199 = 1741 x 1 + 458
Step 3: We consider the new divisor 1741 and the new remainder 458, and apply the division lemma to get
1741 = 458 x 3 + 367
We consider the new divisor 458 and the new remainder 367,and apply the division lemma to get
458 = 367 x 1 + 91
We consider the new divisor 367 and the new remainder 91,and apply the division lemma to get
367 = 91 x 4 + 3
We consider the new divisor 91 and the new remainder 3,and apply the division lemma to get
91 = 3 x 30 + 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 3940 and 2199 is 1
Notice that 1 = HCF(3,1) = HCF(91,3) = HCF(367,91) = HCF(458,367) = HCF(1741,458) = HCF(2199,1741) = HCF(3940,2199) .
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Frequently Asked Questions on HCF of 3940, 2199 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 3940, 2199?
Answer: HCF of 3940, 2199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3940, 2199 using Euclid's Algorithm?
Answer: For arbitrary numbers 3940, 2199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.