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 7616, 3332 i.e. 476 the largest integer that leaves a remainder zero for all numbers.
HCF of 7616, 3332 is 476 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 7616, 3332 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 7616, 3332 is 476.
HCF(7616, 3332) = 476
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7616, 3332 is 476.
Step 1: Since 7616 > 3332, we apply the division lemma to 7616 and 3332, to get
7616 = 3332 x 2 + 952
Step 2: Since the reminder 3332 ≠ 0, we apply division lemma to 952 and 3332, to get
3332 = 952 x 3 + 476
Step 3: We consider the new divisor 952 and the new remainder 476, and apply the division lemma to get
952 = 476 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 476, the HCF of 7616 and 3332 is 476
Notice that 476 = HCF(952,476) = HCF(3332,952) = HCF(7616,3332) .
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 7616, 3332?
Answer: HCF of 7616, 3332 is 476 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7616, 3332 using Euclid's Algorithm?
Answer: For arbitrary numbers 7616, 3332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.