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 8782, 1554 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8782, 1554 is 2 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 8782, 1554 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 8782, 1554 is 2.
HCF(8782, 1554) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8782, 1554 is 2.
Step 1: Since 8782 > 1554, we apply the division lemma to 8782 and 1554, to get
8782 = 1554 x 5 + 1012
Step 2: Since the reminder 1554 ≠ 0, we apply division lemma to 1012 and 1554, to get
1554 = 1012 x 1 + 542
Step 3: We consider the new divisor 1012 and the new remainder 542, and apply the division lemma to get
1012 = 542 x 1 + 470
We consider the new divisor 542 and the new remainder 470,and apply the division lemma to get
542 = 470 x 1 + 72
We consider the new divisor 470 and the new remainder 72,and apply the division lemma to get
470 = 72 x 6 + 38
We consider the new divisor 72 and the new remainder 38,and apply the division lemma to get
72 = 38 x 1 + 34
We consider the new divisor 38 and the new remainder 34,and apply the division lemma to get
38 = 34 x 1 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8782 and 1554 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(38,34) = HCF(72,38) = HCF(470,72) = HCF(542,470) = HCF(1012,542) = HCF(1554,1012) = HCF(8782,1554) .
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 8782, 1554?
Answer: HCF of 8782, 1554 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8782, 1554 using Euclid's Algorithm?
Answer: For arbitrary numbers 8782, 1554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.