Highest Common Factor of 1346, 4718 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 1346, 4718 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1346, 4718 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 1346, 4718 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 1346, 4718 is 2.
HCF(1346, 4718) = 2
HCF of 1346, 4718 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1346, 4718 is 2.
Highest Common Factor of 1346,4718 is 2
Step 1: Since 4718 > 1346, we apply the division lemma to 4718 and 1346, to get
4718 = 1346 x 3 + 680
Step 2: Since the reminder 1346 ≠ 0, we apply division lemma to 680 and 1346, to get
1346 = 680 x 1 + 666
Step 3: We consider the new divisor 680 and the new remainder 666, and apply the division lemma to get
680 = 666 x 1 + 14
We consider the new divisor 666 and the new remainder 14,and apply the division lemma to get
666 = 14 x 47 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1346 and 4718 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(666,14) = HCF(680,666) = HCF(1346,680) = HCF(4718,1346) .
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Frequently Asked Questions on HCF of 1346, 4718 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 1346, 4718?
Answer: HCF of 1346, 4718 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1346, 4718 using Euclid's Algorithm?
Answer: For arbitrary numbers 1346, 4718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.