Highest Common Factor of 8888, 8052 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 8888, 8052 i.e. 44 the largest integer that leaves a remainder zero for all numbers.
HCF of 8888, 8052 is 44 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 8888, 8052 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 8888, 8052 is 44.
HCF(8888, 8052) = 44
HCF of 8888, 8052 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8888, 8052 is 44.
Highest Common Factor of 8888,8052 is 44
Step 1: Since 8888 > 8052, we apply the division lemma to 8888 and 8052, to get
8888 = 8052 x 1 + 836
Step 2: Since the reminder 8052 ≠ 0, we apply division lemma to 836 and 8052, to get
8052 = 836 x 9 + 528
Step 3: We consider the new divisor 836 and the new remainder 528, and apply the division lemma to get
836 = 528 x 1 + 308
We consider the new divisor 528 and the new remainder 308,and apply the division lemma to get
528 = 308 x 1 + 220
We consider the new divisor 308 and the new remainder 220,and apply the division lemma to get
308 = 220 x 1 + 88
We consider the new divisor 220 and the new remainder 88,and apply the division lemma to get
220 = 88 x 2 + 44
We consider the new divisor 88 and the new remainder 44,and apply the division lemma to get
88 = 44 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 8888 and 8052 is 44
Notice that 44 = HCF(88,44) = HCF(220,88) = HCF(308,220) = HCF(528,308) = HCF(836,528) = HCF(8052,836) = HCF(8888,8052) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8888, 8052 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 8888, 8052?
Answer: HCF of 8888, 8052 is 44 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8888, 8052 using Euclid's Algorithm?
Answer: For arbitrary numbers 8888, 8052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.