Highest Common Factor of 7850, 5865 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 7850, 5865 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7850, 5865 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 7850, 5865 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 7850, 5865 is 5.
HCF(7850, 5865) = 5
HCF of 7850, 5865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7850, 5865 is 5.
Highest Common Factor of 7850,5865 is 5
Step 1: Since 7850 > 5865, we apply the division lemma to 7850 and 5865, to get
7850 = 5865 x 1 + 1985
Step 2: Since the reminder 5865 ≠ 0, we apply division lemma to 1985 and 5865, to get
5865 = 1985 x 2 + 1895
Step 3: We consider the new divisor 1985 and the new remainder 1895, and apply the division lemma to get
1985 = 1895 x 1 + 90
We consider the new divisor 1895 and the new remainder 90,and apply the division lemma to get
1895 = 90 x 21 + 5
We consider the new divisor 90 and the new remainder 5,and apply the division lemma to get
90 = 5 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7850 and 5865 is 5
Notice that 5 = HCF(90,5) = HCF(1895,90) = HCF(1985,1895) = HCF(5865,1985) = HCF(7850,5865) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7850, 5865 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 7850, 5865?
Answer: HCF of 7850, 5865 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7850, 5865 using Euclid's Algorithm?
Answer: For arbitrary numbers 7850, 5865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.