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 7962, 7373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7962, 7373 is 1 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 7962, 7373 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 7962, 7373 is 1.
HCF(7962, 7373) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7962, 7373 is 1.
Step 1: Since 7962 > 7373, we apply the division lemma to 7962 and 7373, to get
7962 = 7373 x 1 + 589
Step 2: Since the reminder 7373 ≠ 0, we apply division lemma to 589 and 7373, to get
7373 = 589 x 12 + 305
Step 3: We consider the new divisor 589 and the new remainder 305, and apply the division lemma to get
589 = 305 x 1 + 284
We consider the new divisor 305 and the new remainder 284,and apply the division lemma to get
305 = 284 x 1 + 21
We consider the new divisor 284 and the new remainder 21,and apply the division lemma to get
284 = 21 x 13 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7962 and 7373 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(284,21) = HCF(305,284) = HCF(589,305) = HCF(7373,589) = HCF(7962,7373) .
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 7962, 7373?
Answer: HCF of 7962, 7373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7962, 7373 using Euclid's Algorithm?
Answer: For arbitrary numbers 7962, 7373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.