Highest Common Factor of 6860, 7929 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 6860, 7929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6860, 7929 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 6860, 7929 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 6860, 7929 is 1.
HCF(6860, 7929) = 1
HCF of 6860, 7929 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6860, 7929 is 1.
Highest Common Factor of 6860,7929 is 1
Step 1: Since 7929 > 6860, we apply the division lemma to 7929 and 6860, to get
7929 = 6860 x 1 + 1069
Step 2: Since the reminder 6860 ≠ 0, we apply division lemma to 1069 and 6860, to get
6860 = 1069 x 6 + 446
Step 3: We consider the new divisor 1069 and the new remainder 446, and apply the division lemma to get
1069 = 446 x 2 + 177
We consider the new divisor 446 and the new remainder 177,and apply the division lemma to get
446 = 177 x 2 + 92
We consider the new divisor 177 and the new remainder 92,and apply the division lemma to get
177 = 92 x 1 + 85
We consider the new divisor 92 and the new remainder 85,and apply the division lemma to get
92 = 85 x 1 + 7
We consider the new divisor 85 and the new remainder 7,and apply the division lemma to get
85 = 7 x 12 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6860 and 7929 is 1
Notice that 1 = HCF(7,1) = HCF(85,7) = HCF(92,85) = HCF(177,92) = HCF(446,177) = HCF(1069,446) = HCF(6860,1069) = HCF(7929,6860) .
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Frequently Asked Questions on HCF of 6860, 7929 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 6860, 7929?
Answer: HCF of 6860, 7929 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6860, 7929 using Euclid's Algorithm?
Answer: For arbitrary numbers 6860, 7929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.