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 5284, 9772 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5284, 9772 is 4 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 5284, 9772 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 5284, 9772 is 4.
HCF(5284, 9772) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5284, 9772 is 4.
Step 1: Since 9772 > 5284, we apply the division lemma to 9772 and 5284, to get
9772 = 5284 x 1 + 4488
Step 2: Since the reminder 5284 ≠ 0, we apply division lemma to 4488 and 5284, to get
5284 = 4488 x 1 + 796
Step 3: We consider the new divisor 4488 and the new remainder 796, and apply the division lemma to get
4488 = 796 x 5 + 508
We consider the new divisor 796 and the new remainder 508,and apply the division lemma to get
796 = 508 x 1 + 288
We consider the new divisor 508 and the new remainder 288,and apply the division lemma to get
508 = 288 x 1 + 220
We consider the new divisor 288 and the new remainder 220,and apply the division lemma to get
288 = 220 x 1 + 68
We consider the new divisor 220 and the new remainder 68,and apply the division lemma to get
220 = 68 x 3 + 16
We consider the new divisor 68 and the new remainder 16,and apply the division lemma to get
68 = 16 x 4 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5284 and 9772 is 4
Notice that 4 = HCF(16,4) = HCF(68,16) = HCF(220,68) = HCF(288,220) = HCF(508,288) = HCF(796,508) = HCF(4488,796) = HCF(5284,4488) = HCF(9772,5284) .
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 5284, 9772?
Answer: HCF of 5284, 9772 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5284, 9772 using Euclid's Algorithm?
Answer: For arbitrary numbers 5284, 9772 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.