Highest Common Factor of 746, 4118 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 746, 4118 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 746, 4118 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 746, 4118 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 746, 4118 is 2.
HCF(746, 4118) = 2
HCF of 746, 4118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 746, 4118 is 2.
Highest Common Factor of 746,4118 is 2
Step 1: Since 4118 > 746, we apply the division lemma to 4118 and 746, to get
4118 = 746 x 5 + 388
Step 2: Since the reminder 746 ≠ 0, we apply division lemma to 388 and 746, to get
746 = 388 x 1 + 358
Step 3: We consider the new divisor 388 and the new remainder 358, and apply the division lemma to get
388 = 358 x 1 + 30
We consider the new divisor 358 and the new remainder 30,and apply the division lemma to get
358 = 30 x 11 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 746 and 4118 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(358,30) = HCF(388,358) = HCF(746,388) = HCF(4118,746) .
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Frequently Asked Questions on HCF of 746, 4118 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 746, 4118?
Answer: HCF of 746, 4118 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 746, 4118 using Euclid's Algorithm?
Answer: For arbitrary numbers 746, 4118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.