Highest Common Factor of 1344, 8225 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 1344, 8225 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1344, 8225 is 7 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 1344, 8225 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 1344, 8225 is 7.
HCF(1344, 8225) = 7
HCF of 1344, 8225 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1344, 8225 is 7.
Highest Common Factor of 1344,8225 is 7
Step 1: Since 8225 > 1344, we apply the division lemma to 8225 and 1344, to get
8225 = 1344 x 6 + 161
Step 2: Since the reminder 1344 ≠ 0, we apply division lemma to 161 and 1344, to get
1344 = 161 x 8 + 56
Step 3: We consider the new divisor 161 and the new remainder 56, and apply the division lemma to get
161 = 56 x 2 + 49
We consider the new divisor 56 and the new remainder 49,and apply the division lemma to get
56 = 49 x 1 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1344 and 8225 is 7
Notice that 7 = HCF(49,7) = HCF(56,49) = HCF(161,56) = HCF(1344,161) = HCF(8225,1344) .
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Frequently Asked Questions on HCF of 1344, 8225 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 1344, 8225?
Answer: HCF of 1344, 8225 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1344, 8225 using Euclid's Algorithm?
Answer: For arbitrary numbers 1344, 8225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.