Highest Common Factor of 785, 4875 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 785, 4875 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 4875 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 785, 4875 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 785, 4875 is 5.
HCF(785, 4875) = 5
HCF of 785, 4875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 4875 is 5.
Highest Common Factor of 785,4875 is 5
Step 1: Since 4875 > 785, we apply the division lemma to 4875 and 785, to get
4875 = 785 x 6 + 165
Step 2: Since the reminder 785 ≠ 0, we apply division lemma to 165 and 785, to get
785 = 165 x 4 + 125
Step 3: We consider the new divisor 165 and the new remainder 125, and apply the division lemma to get
165 = 125 x 1 + 40
We consider the new divisor 125 and the new remainder 40,and apply the division lemma to get
125 = 40 x 3 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 785 and 4875 is 5
Notice that 5 = HCF(40,5) = HCF(125,40) = HCF(165,125) = HCF(785,165) = HCF(4875,785) .
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Frequently Asked Questions on HCF of 785, 4875 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 785, 4875?
Answer: HCF of 785, 4875 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 4875 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 4875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.