Highest Common Factor of 4860, 7132 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 4860, 7132 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4860, 7132 is 4 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 4860, 7132 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 4860, 7132 is 4.
HCF(4860, 7132) = 4
HCF of 4860, 7132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4860, 7132 is 4.
Highest Common Factor of 4860,7132 is 4
Step 1: Since 7132 > 4860, we apply the division lemma to 7132 and 4860, to get
7132 = 4860 x 1 + 2272
Step 2: Since the reminder 4860 ≠ 0, we apply division lemma to 2272 and 4860, to get
4860 = 2272 x 2 + 316
Step 3: We consider the new divisor 2272 and the new remainder 316, and apply the division lemma to get
2272 = 316 x 7 + 60
We consider the new divisor 316 and the new remainder 60,and apply the division lemma to get
316 = 60 x 5 + 16
We consider the new divisor 60 and the new remainder 16,and apply the division lemma to get
60 = 16 x 3 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4860 and 7132 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(60,16) = HCF(316,60) = HCF(2272,316) = HCF(4860,2272) = HCF(7132,4860) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4860, 7132 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 4860, 7132?
Answer: HCF of 4860, 7132 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4860, 7132 using Euclid's Algorithm?
Answer: For arbitrary numbers 4860, 7132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.