Highest Common Factor of 4354, 3146 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 4354, 3146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4354, 3146 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 4354, 3146 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 4354, 3146 is 2.
HCF(4354, 3146) = 2
HCF of 4354, 3146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4354, 3146 is 2.
Highest Common Factor of 4354,3146 is 2
Step 1: Since 4354 > 3146, we apply the division lemma to 4354 and 3146, to get
4354 = 3146 x 1 + 1208
Step 2: Since the reminder 3146 ≠ 0, we apply division lemma to 1208 and 3146, to get
3146 = 1208 x 2 + 730
Step 3: We consider the new divisor 1208 and the new remainder 730, and apply the division lemma to get
1208 = 730 x 1 + 478
We consider the new divisor 730 and the new remainder 478,and apply the division lemma to get
730 = 478 x 1 + 252
We consider the new divisor 478 and the new remainder 252,and apply the division lemma to get
478 = 252 x 1 + 226
We consider the new divisor 252 and the new remainder 226,and apply the division lemma to get
252 = 226 x 1 + 26
We consider the new divisor 226 and the new remainder 26,and apply the division lemma to get
226 = 26 x 8 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4354 and 3146 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(226,26) = HCF(252,226) = HCF(478,252) = HCF(730,478) = HCF(1208,730) = HCF(3146,1208) = HCF(4354,3146) .
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Frequently Asked Questions on HCF of 4354, 3146 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 4354, 3146?
Answer: HCF of 4354, 3146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4354, 3146 using Euclid's Algorithm?
Answer: For arbitrary numbers 4354, 3146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.