Highest Common Factor of 7577, 6879 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 7577, 6879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7577, 6879 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 7577, 6879 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 7577, 6879 is 1.
HCF(7577, 6879) = 1
HCF of 7577, 6879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7577, 6879 is 1.
Highest Common Factor of 7577,6879 is 1
Step 1: Since 7577 > 6879, we apply the division lemma to 7577 and 6879, to get
7577 = 6879 x 1 + 698
Step 2: Since the reminder 6879 ≠ 0, we apply division lemma to 698 and 6879, to get
6879 = 698 x 9 + 597
Step 3: We consider the new divisor 698 and the new remainder 597, and apply the division lemma to get
698 = 597 x 1 + 101
We consider the new divisor 597 and the new remainder 101,and apply the division lemma to get
597 = 101 x 5 + 92
We consider the new divisor 101 and the new remainder 92,and apply the division lemma to get
101 = 92 x 1 + 9
We consider the new divisor 92 and the new remainder 9,and apply the division lemma to get
92 = 9 x 10 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7577 and 6879 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(92,9) = HCF(101,92) = HCF(597,101) = HCF(698,597) = HCF(6879,698) = HCF(7577,6879) .
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Frequently Asked Questions on HCF of 7577, 6879 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 7577, 6879?
Answer: HCF of 7577, 6879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7577, 6879 using Euclid's Algorithm?
Answer: For arbitrary numbers 7577, 6879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.