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 6532, 7808 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6532, 7808 is 4 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 6532, 7808 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 6532, 7808 is 4.
HCF(6532, 7808) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6532, 7808 is 4.
Step 1: Since 7808 > 6532, we apply the division lemma to 7808 and 6532, to get
7808 = 6532 x 1 + 1276
Step 2: Since the reminder 6532 ≠ 0, we apply division lemma to 1276 and 6532, to get
6532 = 1276 x 5 + 152
Step 3: We consider the new divisor 1276 and the new remainder 152, and apply the division lemma to get
1276 = 152 x 8 + 60
We consider the new divisor 152 and the new remainder 60,and apply the division lemma to get
152 = 60 x 2 + 32
We consider the new divisor 60 and the new remainder 32,and apply the division lemma to get
60 = 32 x 1 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6532 and 7808 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(60,32) = HCF(152,60) = HCF(1276,152) = HCF(6532,1276) = HCF(7808,6532) .
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 6532, 7808?
Answer: HCF of 6532, 7808 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6532, 7808 using Euclid's Algorithm?
Answer: For arbitrary numbers 6532, 7808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.