Highest Common Factor of 7974, 1441 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 7974, 1441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7974, 1441 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 7974, 1441 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 7974, 1441 is 1.
HCF(7974, 1441) = 1
HCF of 7974, 1441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7974, 1441 is 1.
Highest Common Factor of 7974,1441 is 1
Step 1: Since 7974 > 1441, we apply the division lemma to 7974 and 1441, to get
7974 = 1441 x 5 + 769
Step 2: Since the reminder 1441 ≠ 0, we apply division lemma to 769 and 1441, to get
1441 = 769 x 1 + 672
Step 3: We consider the new divisor 769 and the new remainder 672, and apply the division lemma to get
769 = 672 x 1 + 97
We consider the new divisor 672 and the new remainder 97,and apply the division lemma to get
672 = 97 x 6 + 90
We consider the new divisor 97 and the new remainder 90,and apply the division lemma to get
97 = 90 x 1 + 7
We consider the new divisor 90 and the new remainder 7,and apply the division lemma to get
90 = 7 x 12 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7974 and 1441 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(90,7) = HCF(97,90) = HCF(672,97) = HCF(769,672) = HCF(1441,769) = HCF(7974,1441) .
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Frequently Asked Questions on HCF of 7974, 1441 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 7974, 1441?
Answer: HCF of 7974, 1441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7974, 1441 using Euclid's Algorithm?
Answer: For arbitrary numbers 7974, 1441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.