Highest Common Factor of 7140, 4288 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 7140, 4288 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7140, 4288 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 7140, 4288 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 7140, 4288 is 4.
HCF(7140, 4288) = 4
HCF of 7140, 4288 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7140, 4288 is 4.
Highest Common Factor of 7140,4288 is 4
Step 1: Since 7140 > 4288, we apply the division lemma to 7140 and 4288, to get
7140 = 4288 x 1 + 2852
Step 2: Since the reminder 4288 ≠ 0, we apply division lemma to 2852 and 4288, to get
4288 = 2852 x 1 + 1436
Step 3: We consider the new divisor 2852 and the new remainder 1436, and apply the division lemma to get
2852 = 1436 x 1 + 1416
We consider the new divisor 1436 and the new remainder 1416,and apply the division lemma to get
1436 = 1416 x 1 + 20
We consider the new divisor 1416 and the new remainder 20,and apply the division lemma to get
1416 = 20 x 70 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7140 and 4288 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(1416,20) = HCF(1436,1416) = HCF(2852,1436) = HCF(4288,2852) = HCF(7140,4288) .
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Frequently Asked Questions on HCF of 7140, 4288 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 7140, 4288?
Answer: HCF of 7140, 4288 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7140, 4288 using Euclid's Algorithm?
Answer: For arbitrary numbers 7140, 4288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.