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 7663, 9100 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7663, 9100 is 1 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 7663, 9100 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 7663, 9100 is 1.
HCF(7663, 9100) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7663, 9100 is 1.
Step 1: Since 9100 > 7663, we apply the division lemma to 9100 and 7663, to get
9100 = 7663 x 1 + 1437
Step 2: Since the reminder 7663 ≠ 0, we apply division lemma to 1437 and 7663, to get
7663 = 1437 x 5 + 478
Step 3: We consider the new divisor 1437 and the new remainder 478, and apply the division lemma to get
1437 = 478 x 3 + 3
We consider the new divisor 478 and the new remainder 3,and apply the division lemma to get
478 = 3 x 159 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7663 and 9100 is 1
Notice that 1 = HCF(3,1) = HCF(478,3) = HCF(1437,478) = HCF(7663,1437) = HCF(9100,7663) .
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 7663, 9100?
Answer: HCF of 7663, 9100 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7663, 9100 using Euclid's Algorithm?
Answer: For arbitrary numbers 7663, 9100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.