Highest Common Factor of 6508, 7440 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 6508, 7440 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6508, 7440 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 6508, 7440 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 6508, 7440 is 4.
HCF(6508, 7440) = 4
HCF of 6508, 7440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6508, 7440 is 4.
Highest Common Factor of 6508,7440 is 4
Step 1: Since 7440 > 6508, we apply the division lemma to 7440 and 6508, to get
7440 = 6508 x 1 + 932
Step 2: Since the reminder 6508 ≠ 0, we apply division lemma to 932 and 6508, to get
6508 = 932 x 6 + 916
Step 3: We consider the new divisor 932 and the new remainder 916, and apply the division lemma to get
932 = 916 x 1 + 16
We consider the new divisor 916 and the new remainder 16,and apply the division lemma to get
916 = 16 x 57 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6508 and 7440 is 4
Notice that 4 = HCF(16,4) = HCF(916,16) = HCF(932,916) = HCF(6508,932) = HCF(7440,6508) .
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Frequently Asked Questions on HCF of 6508, 7440 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 6508, 7440?
Answer: HCF of 6508, 7440 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6508, 7440 using Euclid's Algorithm?
Answer: For arbitrary numbers 6508, 7440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.