Highest Common Factor of 4508, 7781 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 4508, 7781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4508, 7781 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 4508, 7781 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 4508, 7781 is 1.
HCF(4508, 7781) = 1
HCF of 4508, 7781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4508, 7781 is 1.
Highest Common Factor of 4508,7781 is 1
Step 1: Since 7781 > 4508, we apply the division lemma to 7781 and 4508, to get
7781 = 4508 x 1 + 3273
Step 2: Since the reminder 4508 ≠ 0, we apply division lemma to 3273 and 4508, to get
4508 = 3273 x 1 + 1235
Step 3: We consider the new divisor 3273 and the new remainder 1235, and apply the division lemma to get
3273 = 1235 x 2 + 803
We consider the new divisor 1235 and the new remainder 803,and apply the division lemma to get
1235 = 803 x 1 + 432
We consider the new divisor 803 and the new remainder 432,and apply the division lemma to get
803 = 432 x 1 + 371
We consider the new divisor 432 and the new remainder 371,and apply the division lemma to get
432 = 371 x 1 + 61
We consider the new divisor 371 and the new remainder 61,and apply the division lemma to get
371 = 61 x 6 + 5
We consider the new divisor 61 and the new remainder 5,and apply the division lemma to get
61 = 5 x 12 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4508 and 7781 is 1
Notice that 1 = HCF(5,1) = HCF(61,5) = HCF(371,61) = HCF(432,371) = HCF(803,432) = HCF(1235,803) = HCF(3273,1235) = HCF(4508,3273) = HCF(7781,4508) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4508, 7781 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 4508, 7781?
Answer: HCF of 4508, 7781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4508, 7781 using Euclid's Algorithm?
Answer: For arbitrary numbers 4508, 7781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.