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 5880, 4736 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5880, 4736 is 8 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 5880, 4736 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 5880, 4736 is 8.
HCF(5880, 4736) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5880, 4736 is 8.
Step 1: Since 5880 > 4736, we apply the division lemma to 5880 and 4736, to get
5880 = 4736 x 1 + 1144
Step 2: Since the reminder 4736 ≠ 0, we apply division lemma to 1144 and 4736, to get
4736 = 1144 x 4 + 160
Step 3: We consider the new divisor 1144 and the new remainder 160, and apply the division lemma to get
1144 = 160 x 7 + 24
We consider the new divisor 160 and the new remainder 24,and apply the division lemma to get
160 = 24 x 6 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5880 and 4736 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(160,24) = HCF(1144,160) = HCF(4736,1144) = HCF(5880,4736) .
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 5880, 4736?
Answer: HCF of 5880, 4736 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5880, 4736 using Euclid's Algorithm?
Answer: For arbitrary numbers 5880, 4736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.