Highest Common Factor of 3478, 5370 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 3478, 5370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3478, 5370 is 2 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 3478, 5370 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 3478, 5370 is 2.
HCF(3478, 5370) = 2
HCF of 3478, 5370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3478, 5370 is 2.
Highest Common Factor of 3478,5370 is 2
Step 1: Since 5370 > 3478, we apply the division lemma to 5370 and 3478, to get
5370 = 3478 x 1 + 1892
Step 2: Since the reminder 3478 ≠ 0, we apply division lemma to 1892 and 3478, to get
3478 = 1892 x 1 + 1586
Step 3: We consider the new divisor 1892 and the new remainder 1586, and apply the division lemma to get
1892 = 1586 x 1 + 306
We consider the new divisor 1586 and the new remainder 306,and apply the division lemma to get
1586 = 306 x 5 + 56
We consider the new divisor 306 and the new remainder 56,and apply the division lemma to get
306 = 56 x 5 + 26
We consider the new divisor 56 and the new remainder 26,and apply the division lemma to get
56 = 26 x 2 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3478 and 5370 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(56,26) = HCF(306,56) = HCF(1586,306) = HCF(1892,1586) = HCF(3478,1892) = HCF(5370,3478) .
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Frequently Asked Questions on HCF of 3478, 5370 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 3478, 5370?
Answer: HCF of 3478, 5370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3478, 5370 using Euclid's Algorithm?
Answer: For arbitrary numbers 3478, 5370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
