Highest Common Factor of 7964, 8550 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 7964, 8550 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7964, 8550 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 7964, 8550 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 7964, 8550 is 2.
HCF(7964, 8550) = 2
HCF of 7964, 8550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7964, 8550 is 2.
Highest Common Factor of 7964,8550 is 2
Step 1: Since 8550 > 7964, we apply the division lemma to 8550 and 7964, to get
8550 = 7964 x 1 + 586
Step 2: Since the reminder 7964 ≠ 0, we apply division lemma to 586 and 7964, to get
7964 = 586 x 13 + 346
Step 3: We consider the new divisor 586 and the new remainder 346, and apply the division lemma to get
586 = 346 x 1 + 240
We consider the new divisor 346 and the new remainder 240,and apply the division lemma to get
346 = 240 x 1 + 106
We consider the new divisor 240 and the new remainder 106,and apply the division lemma to get
240 = 106 x 2 + 28
We consider the new divisor 106 and the new remainder 28,and apply the division lemma to get
106 = 28 x 3 + 22
We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get
28 = 22 x 1 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 7964 and 8550 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(106,28) = HCF(240,106) = HCF(346,240) = HCF(586,346) = HCF(7964,586) = HCF(8550,7964) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7964, 8550 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 7964, 8550?
Answer: HCF of 7964, 8550 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7964, 8550 using Euclid's Algorithm?
Answer: For arbitrary numbers 7964, 8550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.