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 484, 755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 755 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 484, 755 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 484, 755 is 1.
HCF(484, 755) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 484, 755 is 1.
Step 1: Since 755 > 484, we apply the division lemma to 755 and 484, to get
755 = 484 x 1 + 271
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 271 and 484, to get
484 = 271 x 1 + 213
Step 3: We consider the new divisor 271 and the new remainder 213, and apply the division lemma to get
271 = 213 x 1 + 58
We consider the new divisor 213 and the new remainder 58,and apply the division lemma to get
213 = 58 x 3 + 39
We consider the new divisor 58 and the new remainder 39,and apply the division lemma to get
58 = 39 x 1 + 19
We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get
39 = 19 x 2 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 484 and 755 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(58,39) = HCF(213,58) = HCF(271,213) = HCF(484,271) = HCF(755,484) .
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 484, 755?
Answer: HCF of 484, 755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 755 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.