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 4657, 5894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4657, 5894 is 1 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 4657, 5894 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 4657, 5894 is 1.
HCF(4657, 5894) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4657, 5894 is 1.
Step 1: Since 5894 > 4657, we apply the division lemma to 5894 and 4657, to get
5894 = 4657 x 1 + 1237
Step 2: Since the reminder 4657 ≠ 0, we apply division lemma to 1237 and 4657, to get
4657 = 1237 x 3 + 946
Step 3: We consider the new divisor 1237 and the new remainder 946, and apply the division lemma to get
1237 = 946 x 1 + 291
We consider the new divisor 946 and the new remainder 291,and apply the division lemma to get
946 = 291 x 3 + 73
We consider the new divisor 291 and the new remainder 73,and apply the division lemma to get
291 = 73 x 3 + 72
We consider the new divisor 73 and the new remainder 72,and apply the division lemma to get
73 = 72 x 1 + 1
We consider the new divisor 72 and the new remainder 1,and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4657 and 5894 is 1
Notice that 1 = HCF(72,1) = HCF(73,72) = HCF(291,73) = HCF(946,291) = HCF(1237,946) = HCF(4657,1237) = HCF(5894,4657) .
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 4657, 5894?
Answer: HCF of 4657, 5894 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4657, 5894 using Euclid's Algorithm?
Answer: For arbitrary numbers 4657, 5894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.