Highest Common Factor of 3424, 4919 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 3424, 4919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3424, 4919 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 3424, 4919 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 3424, 4919 is 1.
HCF(3424, 4919) = 1
HCF of 3424, 4919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3424, 4919 is 1.
Highest Common Factor of 3424,4919 is 1
Step 1: Since 4919 > 3424, we apply the division lemma to 4919 and 3424, to get
4919 = 3424 x 1 + 1495
Step 2: Since the reminder 3424 ≠ 0, we apply division lemma to 1495 and 3424, to get
3424 = 1495 x 2 + 434
Step 3: We consider the new divisor 1495 and the new remainder 434, and apply the division lemma to get
1495 = 434 x 3 + 193
We consider the new divisor 434 and the new remainder 193,and apply the division lemma to get
434 = 193 x 2 + 48
We consider the new divisor 193 and the new remainder 48,and apply the division lemma to get
193 = 48 x 4 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3424 and 4919 is 1
Notice that 1 = HCF(48,1) = HCF(193,48) = HCF(434,193) = HCF(1495,434) = HCF(3424,1495) = HCF(4919,3424) .
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Frequently Asked Questions on HCF of 3424, 4919 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 3424, 4919?
Answer: HCF of 3424, 4919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3424, 4919 using Euclid's Algorithm?
Answer: For arbitrary numbers 3424, 4919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.