Highest Common Factor of 2219, 3874 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 2219, 3874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2219, 3874 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 2219, 3874 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 2219, 3874 is 1.
HCF(2219, 3874) = 1
HCF of 2219, 3874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2219, 3874 is 1.
Highest Common Factor of 2219,3874 is 1
Step 1: Since 3874 > 2219, we apply the division lemma to 3874 and 2219, to get
3874 = 2219 x 1 + 1655
Step 2: Since the reminder 2219 ≠ 0, we apply division lemma to 1655 and 2219, to get
2219 = 1655 x 1 + 564
Step 3: We consider the new divisor 1655 and the new remainder 564, and apply the division lemma to get
1655 = 564 x 2 + 527
We consider the new divisor 564 and the new remainder 527,and apply the division lemma to get
564 = 527 x 1 + 37
We consider the new divisor 527 and the new remainder 37,and apply the division lemma to get
527 = 37 x 14 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2219 and 3874 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(527,37) = HCF(564,527) = HCF(1655,564) = HCF(2219,1655) = HCF(3874,2219) .
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Frequently Asked Questions on HCF of 2219, 3874 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 2219, 3874?
Answer: HCF of 2219, 3874 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2219, 3874 using Euclid's Algorithm?
Answer: For arbitrary numbers 2219, 3874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.