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 4670, 5146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4670, 5146 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 4670, 5146 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 4670, 5146 is 2.
HCF(4670, 5146) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4670, 5146 is 2.
Step 1: Since 5146 > 4670, we apply the division lemma to 5146 and 4670, to get
5146 = 4670 x 1 + 476
Step 2: Since the reminder 4670 ≠ 0, we apply division lemma to 476 and 4670, to get
4670 = 476 x 9 + 386
Step 3: We consider the new divisor 476 and the new remainder 386, and apply the division lemma to get
476 = 386 x 1 + 90
We consider the new divisor 386 and the new remainder 90,and apply the division lemma to get
386 = 90 x 4 + 26
We consider the new divisor 90 and the new remainder 26,and apply the division lemma to get
90 = 26 x 3 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4670 and 5146 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(90,26) = HCF(386,90) = HCF(476,386) = HCF(4670,476) = HCF(5146,4670) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4670, 5146?
Answer: HCF of 4670, 5146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4670, 5146 using Euclid's Algorithm?
Answer: For arbitrary numbers 4670, 5146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.