Highest Common Factor of 4450, 8335 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 4450, 8335 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4450, 8335 is 5 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 4450, 8335 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 4450, 8335 is 5.
HCF(4450, 8335) = 5
HCF of 4450, 8335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4450, 8335 is 5.
Highest Common Factor of 4450,8335 is 5
Step 1: Since 8335 > 4450, we apply the division lemma to 8335 and 4450, to get
8335 = 4450 x 1 + 3885
Step 2: Since the reminder 4450 ≠ 0, we apply division lemma to 3885 and 4450, to get
4450 = 3885 x 1 + 565
Step 3: We consider the new divisor 3885 and the new remainder 565, and apply the division lemma to get
3885 = 565 x 6 + 495
We consider the new divisor 565 and the new remainder 495,and apply the division lemma to get
565 = 495 x 1 + 70
We consider the new divisor 495 and the new remainder 70,and apply the division lemma to get
495 = 70 x 7 + 5
We consider the new divisor 70 and the new remainder 5,and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4450 and 8335 is 5
Notice that 5 = HCF(70,5) = HCF(495,70) = HCF(565,495) = HCF(3885,565) = HCF(4450,3885) = HCF(8335,4450) .
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Frequently Asked Questions on HCF of 4450, 8335 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 4450, 8335?
Answer: HCF of 4450, 8335 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4450, 8335 using Euclid's Algorithm?
Answer: For arbitrary numbers 4450, 8335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.