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, 853, 464, 454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 853, 464, 454 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, 853, 464, 454 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, 853, 464, 454 is 1.
HCF(484, 853, 464, 454) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 484, 853, 464, 454 is 1.
Step 1: Since 853 > 484, we apply the division lemma to 853 and 484, to get
853 = 484 x 1 + 369
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 369 and 484, to get
484 = 369 x 1 + 115
Step 3: We consider the new divisor 369 and the new remainder 115, and apply the division lemma to get
369 = 115 x 3 + 24
We consider the new divisor 115 and the new remainder 24,and apply the division lemma to get
115 = 24 x 4 + 19
We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get
24 = 19 x 1 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 484 and 853 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(115,24) = HCF(369,115) = HCF(484,369) = HCF(853,484) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 464 > 1, we apply the division lemma to 464 and 1, to get
464 = 1 x 464 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 464 is 1
Notice that 1 = HCF(464,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 454 > 1, we apply the division lemma to 454 and 1, to get
454 = 1 x 454 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 454 is 1
Notice that 1 = HCF(454,1) .
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, 853, 464, 454?
Answer: HCF of 484, 853, 464, 454 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 853, 464, 454 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 853, 464, 454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.