Highest Common Factor of 160, 7680, 6640 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 160, 7680, 6640 i.e. 80 the largest integer that leaves a remainder zero for all numbers.
HCF of 160, 7680, 6640 is 80 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 160, 7680, 6640 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 160, 7680, 6640 is 80.
HCF(160, 7680, 6640) = 80
HCF of 160, 7680, 6640 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 160, 7680, 6640 is 80.
Highest Common Factor of 160,7680,6640 is 80
Step 1: Since 7680 > 160, we apply the division lemma to 7680 and 160, to get
7680 = 160 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 160, the HCF of 160 and 7680 is 160
Notice that 160 = HCF(7680,160) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6640 > 160, we apply the division lemma to 6640 and 160, to get
6640 = 160 x 41 + 80
Step 2: Since the reminder 160 ≠ 0, we apply division lemma to 80 and 160, to get
160 = 80 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 80, the HCF of 160 and 6640 is 80
Notice that 80 = HCF(160,80) = HCF(6640,160) .
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Frequently Asked Questions on HCF of 160, 7680, 6640 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 160, 7680, 6640?
Answer: HCF of 160, 7680, 6640 is 80 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 160, 7680, 6640 using Euclid's Algorithm?
Answer: For arbitrary numbers 160, 7680, 6640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.