Highest Common Factor of 7925, 6770 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 7925, 6770 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7925, 6770 is 5 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 7925, 6770 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 7925, 6770 is 5.
HCF(7925, 6770) = 5
HCF of 7925, 6770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7925, 6770 is 5.
Highest Common Factor of 7925,6770 is 5
Step 1: Since 7925 > 6770, we apply the division lemma to 7925 and 6770, to get
7925 = 6770 x 1 + 1155
Step 2: Since the reminder 6770 ≠ 0, we apply division lemma to 1155 and 6770, to get
6770 = 1155 x 5 + 995
Step 3: We consider the new divisor 1155 and the new remainder 995, and apply the division lemma to get
1155 = 995 x 1 + 160
We consider the new divisor 995 and the new remainder 160,and apply the division lemma to get
995 = 160 x 6 + 35
We consider the new divisor 160 and the new remainder 35,and apply the division lemma to get
160 = 35 x 4 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7925 and 6770 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(160,35) = HCF(995,160) = HCF(1155,995) = HCF(6770,1155) = HCF(7925,6770) .
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Frequently Asked Questions on HCF of 7925, 6770 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 7925, 6770?
Answer: HCF of 7925, 6770 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7925, 6770 using Euclid's Algorithm?
Answer: For arbitrary numbers 7925, 6770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
