Highest Common Factor of 1674, 4419 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 1674, 4419 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 1674, 4419 is 9 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 1674, 4419 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 1674, 4419 is 9.
HCF(1674, 4419) = 9
HCF of 1674, 4419 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1674, 4419 is 9.
Highest Common Factor of 1674,4419 is 9
Step 1: Since 4419 > 1674, we apply the division lemma to 4419 and 1674, to get
4419 = 1674 x 2 + 1071
Step 2: Since the reminder 1674 ≠ 0, we apply division lemma to 1071 and 1674, to get
1674 = 1071 x 1 + 603
Step 3: We consider the new divisor 1071 and the new remainder 603, and apply the division lemma to get
1071 = 603 x 1 + 468
We consider the new divisor 603 and the new remainder 468,and apply the division lemma to get
603 = 468 x 1 + 135
We consider the new divisor 468 and the new remainder 135,and apply the division lemma to get
468 = 135 x 3 + 63
We consider the new divisor 135 and the new remainder 63,and apply the division lemma to get
135 = 63 x 2 + 9
We consider the new divisor 63 and the new remainder 9,and apply the division lemma to get
63 = 9 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 1674 and 4419 is 9
Notice that 9 = HCF(63,9) = HCF(135,63) = HCF(468,135) = HCF(603,468) = HCF(1071,603) = HCF(1674,1071) = HCF(4419,1674) .
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Frequently Asked Questions on HCF of 1674, 4419 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 1674, 4419?
Answer: HCF of 1674, 4419 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1674, 4419 using Euclid's Algorithm?
Answer: For arbitrary numbers 1674, 4419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
