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 4727, 5598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4727, 5598 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 4727, 5598 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 4727, 5598 is 1.
HCF(4727, 5598) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4727, 5598 is 1.
Step 1: Since 5598 > 4727, we apply the division lemma to 5598 and 4727, to get
5598 = 4727 x 1 + 871
Step 2: Since the reminder 4727 ≠ 0, we apply division lemma to 871 and 4727, to get
4727 = 871 x 5 + 372
Step 3: We consider the new divisor 871 and the new remainder 372, and apply the division lemma to get
871 = 372 x 2 + 127
We consider the new divisor 372 and the new remainder 127,and apply the division lemma to get
372 = 127 x 2 + 118
We consider the new divisor 127 and the new remainder 118,and apply the division lemma to get
127 = 118 x 1 + 9
We consider the new divisor 118 and the new remainder 9,and apply the division lemma to get
118 = 9 x 13 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4727 and 5598 is 1
Notice that 1 = HCF(9,1) = HCF(118,9) = HCF(127,118) = HCF(372,127) = HCF(871,372) = HCF(4727,871) = HCF(5598,4727) .
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 4727, 5598?
Answer: HCF of 4727, 5598 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4727, 5598 using Euclid's Algorithm?
Answer: For arbitrary numbers 4727, 5598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.