Highest Common Factor of 416, 3952 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 416, 3952 i.e. 208 the largest integer that leaves a remainder zero for all numbers.
HCF of 416, 3952 is 208 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 416, 3952 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 416, 3952 is 208.
HCF(416, 3952) = 208
HCF of 416, 3952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 416, 3952 is 208.
Highest Common Factor of 416,3952 is 208
Step 1: Since 3952 > 416, we apply the division lemma to 3952 and 416, to get
3952 = 416 x 9 + 208
Step 2: Since the reminder 416 ≠ 0, we apply division lemma to 208 and 416, to get
416 = 208 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 208, the HCF of 416 and 3952 is 208
Notice that 208 = HCF(416,208) = HCF(3952,416) .
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Frequently Asked Questions on HCF of 416, 3952 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 416, 3952?
Answer: HCF of 416, 3952 is 208 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 416, 3952 using Euclid's Algorithm?
Answer: For arbitrary numbers 416, 3952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.