Highest Common Factor of 2652, 4308 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 2652, 4308 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 2652, 4308 is 12 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 2652, 4308 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 2652, 4308 is 12.
HCF(2652, 4308) = 12
HCF of 2652, 4308 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2652, 4308 is 12.
Highest Common Factor of 2652,4308 is 12
Step 1: Since 4308 > 2652, we apply the division lemma to 4308 and 2652, to get
4308 = 2652 x 1 + 1656
Step 2: Since the reminder 2652 ≠ 0, we apply division lemma to 1656 and 2652, to get
2652 = 1656 x 1 + 996
Step 3: We consider the new divisor 1656 and the new remainder 996, and apply the division lemma to get
1656 = 996 x 1 + 660
We consider the new divisor 996 and the new remainder 660,and apply the division lemma to get
996 = 660 x 1 + 336
We consider the new divisor 660 and the new remainder 336,and apply the division lemma to get
660 = 336 x 1 + 324
We consider the new divisor 336 and the new remainder 324,and apply the division lemma to get
336 = 324 x 1 + 12
We consider the new divisor 324 and the new remainder 12,and apply the division lemma to get
324 = 12 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 2652 and 4308 is 12
Notice that 12 = HCF(324,12) = HCF(336,324) = HCF(660,336) = HCF(996,660) = HCF(1656,996) = HCF(2652,1656) = HCF(4308,2652) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2652, 4308 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 2652, 4308?
Answer: HCF of 2652, 4308 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2652, 4308 using Euclid's Algorithm?
Answer: For arbitrary numbers 2652, 4308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
