Highest Common Factor of 7602, 7280 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 7602, 7280 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 7602, 7280 is 14 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 7602, 7280 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 7602, 7280 is 14.
HCF(7602, 7280) = 14
HCF of 7602, 7280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7602, 7280 is 14.
Highest Common Factor of 7602,7280 is 14
Step 1: Since 7602 > 7280, we apply the division lemma to 7602 and 7280, to get
7602 = 7280 x 1 + 322
Step 2: Since the reminder 7280 ≠ 0, we apply division lemma to 322 and 7280, to get
7280 = 322 x 22 + 196
Step 3: We consider the new divisor 322 and the new remainder 196, and apply the division lemma to get
322 = 196 x 1 + 126
We consider the new divisor 196 and the new remainder 126,and apply the division lemma to get
196 = 126 x 1 + 70
We consider the new divisor 126 and the new remainder 70,and apply the division lemma to get
126 = 70 x 1 + 56
We consider the new divisor 70 and the new remainder 56,and apply the division lemma to get
70 = 56 x 1 + 14
We consider the new divisor 56 and the new remainder 14,and apply the division lemma to get
56 = 14 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 7602 and 7280 is 14
Notice that 14 = HCF(56,14) = HCF(70,56) = HCF(126,70) = HCF(196,126) = HCF(322,196) = HCF(7280,322) = HCF(7602,7280) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7602, 7280 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 7602, 7280?
Answer: HCF of 7602, 7280 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7602, 7280 using Euclid's Algorithm?
Answer: For arbitrary numbers 7602, 7280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
