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 7865, 4537 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 7865, 4537 is 13 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 7865, 4537 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 7865, 4537 is 13.
HCF(7865, 4537) = 13
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7865, 4537 is 13.
Step 1: Since 7865 > 4537, we apply the division lemma to 7865 and 4537, to get
7865 = 4537 x 1 + 3328
Step 2: Since the reminder 4537 ≠ 0, we apply division lemma to 3328 and 4537, to get
4537 = 3328 x 1 + 1209
Step 3: We consider the new divisor 3328 and the new remainder 1209, and apply the division lemma to get
3328 = 1209 x 2 + 910
We consider the new divisor 1209 and the new remainder 910,and apply the division lemma to get
1209 = 910 x 1 + 299
We consider the new divisor 910 and the new remainder 299,and apply the division lemma to get
910 = 299 x 3 + 13
We consider the new divisor 299 and the new remainder 13,and apply the division lemma to get
299 = 13 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 7865 and 4537 is 13
Notice that 13 = HCF(299,13) = HCF(910,299) = HCF(1209,910) = HCF(3328,1209) = HCF(4537,3328) = HCF(7865,4537) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7865, 4537?
Answer: HCF of 7865, 4537 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7865, 4537 using Euclid's Algorithm?
Answer: For arbitrary numbers 7865, 4537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.