Highest Common Factor of 4250, 7285 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 4250, 7285 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4250, 7285 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 4250, 7285 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 4250, 7285 is 5.
HCF(4250, 7285) = 5
HCF of 4250, 7285 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4250, 7285 is 5.
Highest Common Factor of 4250,7285 is 5
Step 1: Since 7285 > 4250, we apply the division lemma to 7285 and 4250, to get
7285 = 4250 x 1 + 3035
Step 2: Since the reminder 4250 ≠ 0, we apply division lemma to 3035 and 4250, to get
4250 = 3035 x 1 + 1215
Step 3: We consider the new divisor 3035 and the new remainder 1215, and apply the division lemma to get
3035 = 1215 x 2 + 605
We consider the new divisor 1215 and the new remainder 605,and apply the division lemma to get
1215 = 605 x 2 + 5
We consider the new divisor 605 and the new remainder 5,and apply the division lemma to get
605 = 5 x 121 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4250 and 7285 is 5
Notice that 5 = HCF(605,5) = HCF(1215,605) = HCF(3035,1215) = HCF(4250,3035) = HCF(7285,4250) .
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Frequently Asked Questions on HCF of 4250, 7285 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 4250, 7285?
Answer: HCF of 4250, 7285 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4250, 7285 using Euclid's Algorithm?
Answer: For arbitrary numbers 4250, 7285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.